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Nonunitary Representations of the Groups of U(p, q)-currents for q ≥ p > 1

Journal of mathematical sciences (New York, N.Y.), 2018-07, Vol.232 (2), p.99-120

2018

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Special Representations of the Iwasawa Subgroups of Simple Lie Groups

Journal of mathematical sciences (New York, N.Y.), 2017-07, Vol.224 (2), p.231-237

2017

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Infinite-Dimensional Representations of the Lie Algebra gl(n,C) Related to Complex Analogs of the Gelfand-Tsetlin Patterns and General Hypergeometric Functions on the Lie Group GL(n,C)

Acta applicandae mathematicae, 2004-03, Vol.81 (1), p.93

Graev, M I

2004

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General Hypergeometric Functions of Matrices and their Connection to Representations of Linear Groups and Lie Algebras

Acta applicandae mathematicae, 2005-03, Vol.86 (1-2), p.3-19

Graev, M. I.

2005

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Hypergeometric functions over an arbitrary field

Russian mathematical surveys, 2004-10, Vol.59 (5), p.831-905

2004

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The Poisson model of the Fock space and representations of current groups

St. Petersburg mathematical journal, 2012-06, Vol.23 (3), p.459-510

2012

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Integral models of representations of the current groups of simple Lie groups

Russian mathematical surveys, 2009-04, Vol.64 (2), p.205-271

2009

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Structure of the complementary series and special representations of the groups O(n,1) and U(n,1)

Russian mathematical surveys, 2006-10, Vol.61 (5), p.799-884

2006

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Infinite-Dimensional Representations of the Lie Algebra \mathfrakgl(n,C) Related to Complex Analogs of the Gelfand–Tsetlin Patterns and General Hypergeometric Functions on the Lie Group GL(n,C)

Acta applicandae mathematicae, 2004-03, Vol.81 (1), p.93-120

Graev, M. I.

2004

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Cohomology of the Iwasawa Subgroup of the Group U(p,p) in Nonunitary Representations

Journal of mathematical sciences (New York, N.Y.), 2016-06, Vol.215 (6), p.700-705

2016

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General hypergeometric systems of equations and series of hypergeometric type

Russian mathematical surveys, 1992-08, Vol.47 (4), p.1-88

1992

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GG-functions and their relation to general hypergeometric functions

Russian mathematical surveys, 1997-08, Vol.52 (4), p.639-684

1997

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Cohomology in nonunitary representations of semisimple Lie groups (the group U(2, 2))

Functional analysis and its applications, 2014-09, Vol.48 (3), p.155-165

2014

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General gamma functions, exponentials, and hypergeometric functions

Russian mathematical surveys, 1998-02, Vol.53 (1), p.1-55

1998

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Rings of formal power series and a multidimensional analogue of the lagrange formula

Doklady. Mathematics, 2011-08, Vol.84 (1), p.459-463

Graev, M. I.

2011

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Special representations of the groups U(∞, 1) and O(∞, 1) and the associated representations of the current groups U(∞, 1)X and O(∞, 1)X in quasi-poisson spaces

Functional analysis and its applications, 2012-03, Vol.46 (1), p.1-10

2012

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Integral geometry, hypergroups, and Gelfand’s question

Doklady. Mathematics, 2011-10, Vol.84 (2), p.660-664

2011

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A continuous analogue of Gelfand-Tsetlin schemes and a realization of the principal series of irreducible unitary representations of the group GL(n, ℂ) in the space of functions on the variety of these schemes

Doklady. Mathematics, 2007-02, Vol.75 (1), p.31-35

Graev, M. I.

2007

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Averaging operator on countable directed graphs and its inversion formula

Doklady. Mathematics, 2011-04, Vol.83 (2), p.250-253

2011

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Special Representations of Nilpotent Lie Groups and the Associated Poisson Representations of Current Groups

Moscow mathematical journal, 2013, Vol.13 (2), p.345-360

2013

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Integral models of unitary representations of current groups with values in semidirect products

Functional analysis and its applications, 2008-10, Vol.42 (4), p.279-289

2008

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Integral models of representations of current groups

Functional analysis and its applications, 2008, Vol.42 (1), p.19-27

2008

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Equations and series of hypergeometric type

Functional analysis and its applications, 1995, Vol.29 (1), p.56-59

Graev, M. I.

1995

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Infinite-dimensional representations of the algebra gI(n, C) and general hypergeometric functions on the group GL(n, C) related to complex analogues of the Gel'fand-Tsetlin schemes

Doklady. Mathematics, 2003, Vol.68 (2), p.204-210

GRAEV, M. I

2003

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General hypergeometric functions

Functional analysis and its applications, 1992-04, Vol.26 (2), p.131-133

Graev, M. I.

1992

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Nonunitary Representations of the Groups of U(p, q)-currents for q ≥ p > 1

Special Representations of the Iwasawa Subgroups of Simple Lie Groups

Infinite-Dimensional Representations of the Lie Algebra gl(n,C) Related to Complex Analogs of the Gelfand-Tsetlin Patterns and General Hypergeometric Functions on the Lie Group GL(n,C)

General Hypergeometric Functions of Matrices and their Connection to Representations of Linear Groups and Lie Algebras

Hypergeometric functions over an arbitrary field

The Poisson model of the Fock space and representations of current groups

Integral models of representations of the current groups of simple Lie groups

Structure of the complementary series and special representations of the groups O(n,1) and U(n,1)

Infinite-Dimensional Representations of the Lie Algebra \mathfrakgl(n,C) Related to Complex Analogs of the Gelfand–Tsetlin Patterns and General Hypergeometric Functions on the Lie Group GL(n,C)

Cohomology of the Iwasawa Subgroup of the Group U(p,p) in Nonunitary Representations

General hypergeometric systems of equations and series of hypergeometric type

GG-functions and their relation to general hypergeometric functions

Cohomology in nonunitary representations of semisimple Lie groups (the group U(2, 2))

General gamma functions, exponentials, and hypergeometric functions

Rings of formal power series and a multidimensional analogue of the lagrange formula

Special representations of the groups U(∞, 1) and O(∞, 1) and the associated representations of the current groups U(∞, 1)X and O(∞, 1)X in quasi-poisson spaces

Integral geometry, hypergroups, and Gelfand’s question

A continuous analogue of Gelfand-Tsetlin schemes and a realization of the principal series of irreducible unitary representations of the group GL(n, ℂ) in the space of functions on the variety of these schemes

Averaging operator on countable directed graphs and its inversion formula

Special Representations of Nilpotent Lie Groups and the Associated Poisson Representations of Current Groups

Integral models of unitary representations of current groups with values in semidirect products

Integral models of representations of current groups

Equations and series of hypergeometric type

Infinite-dimensional representations of the algebra gI(n, C) and general hypergeometric functions on the group GL(n, C) related to complex analogues of the Gel'fand-Tsetlin schemes

General hypergeometric functions

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