MARKO TADIC
Fellow of the Croatian academy of sciences and arts

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Some preprints, manuscripts, notes etc.

• Unitarizability in generalized rank three for classical p-adic groups, preprint (August 2017 version)

• Some results on reducibility of parabolic induction for classical groups (joint paper with E. Lapid), preprint (April 2017 version)

• On unitarizability and reducibility , notes of the lecture given at the
40th Anniversary Midwest Representation Theory Conference

• On square integrable representations of classical p-adic groups (1996)

Papers - published or accepted for publication in period 1991 -

(the files below are in general the last versions of the corresponding preprints before the publication)
• On unitarizability in the case of classical p-adic groups, to appear in the
Proceedings of the Simons Symposium on Geometric Aspects of the Trace Formula.

• Two simple observations on representations of metaplectic groups, to appear in
Rad HAZU, Matematicke Znanosti.

• Some bounds on unitary duals of classical groups - non-archimeden case, to appear in the
Bulletion of the Iranian Mathematical Society.

• Remark on representation theory of general linear groups over a non-archimedean local division algebra,
Rad HAZU, Matematicke Znanosti, vol. 19 / 523, 2015, pages 27-53.

• On Jacquet modules of representations of segment type (joint paper with I. Matic),
Manuscripta Mathematica vol. 147, no. 3, 2015, pages 437-476.

• On the reducibility points beyond the ends of complementary series of p-adic general linear groups,
Journal of Lie Theory, vol. 25, no.1, 2015, pages 147-183

• Irreducibility criterion for representations induced by essentially unitary ones (case of non-archimedean GL(n,A)),
Glasnik Matematicki, vol. 49, no. 1, 2014, pages 123-161.

• On interactions between harmonic analysis and the theory of automorphic forms,
"Automorphic Representations and L-functions", Tata Institute of Fundamental Research , Hindustan Book Agency , New Delhi, 2013, pages 591 - 650.

• On tempered and square integrable representations of classical p-adic groups,
Science China Mathematics, vol. 56, no. 11, 2013, pages 2273-2313 (DOI 10.1007/s11425-013-4667-0).

• Reducibility and discrete series in the case of classical p-adic groups; an approach based on examples,
in "Geometry and Analysis of Automorphic Forms of Several Variables", Series on Number Theory and Its Applications, vol. 7, World Scientific , Singapore, 2012, pages 254-333.

• On invariants of discrete series representations of classical p-adic groups,
Manuscripta Mathematica , vol. 136, 2011, pages 417-435.

• On automorphic duals and isolated representations; new phenomena,
Journal of the Ramanujan Mathematical Society , vol. 25, no. 3, 2010, pages 295-328.

• A method of proving non-unitarity of representations of p-adic groups I (joint paper with M. Hanzer),
Mathematische Zeitschrift , vol. 266, no. 4, 2010, pages 799-816.

• A construction of elements in the Bernstein center for quasi-split groups (joint paper with A. Moy),
American Journal of Mathematics , vol. 133, 2011, pages 467-518.

• Unramified  unitary duals for split classical p-adic groups; the topology and isolated representations (joint paper with G. Muic),
in "On Certain L-functions", Clay Mathematics Proceedings , vol. 13, 2011, pages 375--438.

• GL(n,C)^ and GL(n,R)^,
in "Automorphic Forms and L-functions II, Local Aspects", Contemporary Mathematics , vol. 489, 2009, pages 285-313.

• Some algebras of essentially compact distributions of a reductive p-adic group (joint paper with A. Moy),
in "Harmonic analysis, group representations, automorphic forms and invariant theory", Lecture Notes Series, vol. 12, World Scientific, Singapore, 2007, pages 247-275.

• An exercise on unitary representations in the case of complex classical groups,
in "Functional Analysis IX", Various Publ. Ser. (Arhus), 48, Arhus 2007, pages 91-102.

• On reducibility and unitarizability for classical p-adic groups, some general results,
Canadian Journal of Mathematics, vol. 61, 2009, pages 427-450.

• On the representation theory of GL(n) over a p-adic division algebra and unitarity in the Jacquet-Langlands correspondences,
Pacific Journal of Mathematics, vol. 223, 2006, pages 167-200.

• Conjugacy class asymptotics, orbital integrals, and the Bernstein Center: the case of SL(2) (joint paper with A. Moy),
Representation Theory, vol. 9, 2005, pages 327-353.

• Generalized spherical functions on reductive p-adic groups (joint paper with J.-S. Huang),
Transactions of the American Mathematical Society, vol. 357, 2005, pages 2081-2117.

• Square integrable representations of segment type (generic reducibilities),
in "Functional Analysis VIII", Various Publ. Ser. (Arhus), 47, Arhus 2004, pages 167-204.

• On classification of some classes of irreducible representations of classical  groups,
in "Representations of real and p-adic groups", Lecture Notes Series, vol. 2, Singapore University Press and World Scientific, Singapore, 2004, pages 95-162.

• On the generic unitary dual of quasi-split classical groups (joint paper with E. Lapid and G. Muic),
International Mathematical Research Notes, no. 26, 2004, pages 1335--1354.

• The Bernstein center in terms of invariant locally integrable functions (joint paper with A. Moy),
Representation Theory, vol. 6, 2002, pages 313-329} (and Erratum, Represent. Theory 9, 2005, 455-456).

• Construction of discrete series for classical p-adic groups (joint paper with C. Moeglin),
Journal of the American Mathematical Society, vol. 15, 2002, pages 715-786.

• A family of square integrable representations of classical p-adic groups in the case of general half-integral reducibilities,
Glasnik Matematicki, vol. 37(57), 2002, pages 21-57.

• Square integrable representations of classical p-adic groups corresponding to segments,
Representation Theory, vol. 3, 1999, pages 58-89.

• On reducibility of parabolic induction,
Israel Journal of Mathematics, vol. 107, 1998, pages 29-91.

• On regular square integrable representations of p-adic groups,
American Journal of Mathematics, vol. 120, 1998, pages 159-210.

• Jacquet modules and induced representations,
Mathematical Communications, vol. 3, 1998, pages 1-17.

• Correspondence on  characters of irreducible unitary representations of GL(n,C),
Mathematischen Annalen, vol. 305, 1996, pages 419-438.

• Structure arising from induction and Jacquet modules of representations of classical p-adic groups,
Journal of Algebra, vol. 177, 1995, pages 1-33.

• On characters of irreducible unitary representations of general linear groups,
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg, vol. 65, 1995, pages 341-363.

• Representations of classical p-adic groups,
in "Representations of Lie groups and quantum groups", Pitman Research Notes in Mathematics Series, 311, Longman, Essex, 1994, pages 129-204.

• Representations of p-adic symplectic groups,
Compositio Mathematica, vol. 90, 1994, pages 123-181.

• An external approach to unitary representations,
Bulletin of the American Mathematical Society, vol. 28, 1993, pages 215-252.

• Induced  representations and classifications for GSp(2, F) and Sp(2,F) (joint paper with J.P. Sally),
Memoires Societe Mathematique de France, vol. 52, 1993, pages 75-133.

• On Jacquet modules of induced representations of p-adic symplectic groups,
in "Harmonic Analysis on Reductive Groups", Proceedings, Progress in Mathematics, 101, Birkhauser, Boston, 1991, pages 305-314.

Links to some older papers (1983 - 1992)

• Notes on representations of non-archimedean SL(n) - link (PDF - DjVu);
  
Pacific Journal of Mathematics, vol. 152, 1992, pages 375-396.

• Induced representations of GL(n, A) for p-adic division algebras A - link (go to the page 52 : 48 there);
  
Journal fur die reine und angewandte Mathematik, vol. 405, 1990, pages 48-77.

• Geometry of dual spaces of reductive groups (non-archimedean case) - in  PDF format;
Journal d’Analyse Mathematique, vol. 51, 1988, pages 139-181.

• Unitary representations of GL(n), derivatives in the non-archimedean case - in  PDF format;
Berichte der Mathematisch-Statistischen Sektion in der Forschungsgesellschaft Joaneum, Graz, vol. 281, 1987, pages 281/1-281/19.

• Spherical unitary dual of general linear group over non-archimedean  local field  -  download (PDF);
Annales de l'Institut Fourier, vol. 36, 1986, pages 47-55.

• Classification  of unitary representations in irreducible representations of general linear group (non-archimedean  case) -  download (PDF);
Annales Scientifiques de l'Ecole Normale Superieure, vol. 19, 1986, pages 335-382.

• Proof of a conjecture of Bernstein - link (go to the page 17 : 11 there);
  
Mathematischen Annalen, vol. 272, 1985, pages 11-16.

• Unitary dual of p-adic GL(n), Proof of  Bernstein Conjectures -  download (PDF);
Bulletin of the American Mathematical Society, vol. 13, 1985, pages 39-42.

• Unitary representations of general linear group over real and complex field - download (PDF)
MPI/SFB preprint series, preprint 85-22, Bonn, 1985.

• Harmonic analysis of  spherical functions on reductive groups over p-adic fields - link (PDF - DjVu);
Pacific Journal of Mathematics, vol. 109, 1983, pages 215-236.

Some mathematical links

• History of Mathematics and Biographies
  
• Mathematical Reviews
• Science preprint server
• Zentralblatt fur Mathematik/Mathematics Abstracts
• Genealogy project

Some mathematical societies and unions

• IMU (World)
• EMU (Europe)
• ÖMG (Austria)
• CMS (Canada)
• CMS (China)
• HMD (Croatia)
• SMF (France)
• DMV (Germany)
• IMS (India)
• IMU (Israel)
• MSJ (Japan)
• AMS (US)

Croatian Academy of Sciences and Arts

Strossmayer Gallery

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