{\sin((2\lambda +1)X)}{\sin X/2}}} Weyl character formula Localization formula for equivariant cohomology Kirillov, A. A., Lectures on the Orbit Method,...

corresponds to the integral coadjoint orbit G·λ. The Kirillov character formula amounts to the character formula earlier proved by Harish-Chandra. Dixmier mapping...

years, Kirillov was a winner of many mathematics competitions, and he is still an active organizer of Russian mathematical contests. Kirillov is an author...

Schmid-Vilonen among others. Character theory Algebraic character Demazure character formula Weyl integration formula Kirillov character formula Hall 2015 Section...

representation theory known as the orbit method (see also the Kirillov character formula), the irreducible representations of a Lie group G should be indexed...

(representation theory) Peter–Weyl theorem Borel–Weil theorem Kirillov character formula Representation theory of SU(2) Representation theory of SL2(R)...

Complex conjugate representation Tensor product of representations Kirillov Character Formula Hall, Brian C. (2015), Lie Groups, Lie Algebras, and Representations:...

the Harish-Chandra's integration formula, which in turns gives Kirillov's character formula. The localization theorem for equivariant cohomology in non-rational...

theorem, for G {\displaystyle G} a compact group Kirillov character formula Kirillov orbit theory Kirillov, A.A., Lectures on the Orbit Method, Graduate...

Wigner–Eckart theorem Stone–von Neumann theorem Orbit method Kirillov character formula Weyl character formula Discrete series representation Principal series representation...

x\,{\textrm {ad}}\,y)\ \forall x,y\in {\mathfrak {g}}} . Kirillov Kirillov character formula Langlands Langlands decomposition Langlands dual Lie 1.  ...

Berline, it became a link between Atiyah-Bott fixed-point formulas and Kirillov character formula in 1985. The theory has applications to physics (e.g.,...

{\displaystyle K\cdot v} spans a finite-dimensional vector space. Kirillov The Kirillov character formula lattice 1.  The root lattice is the free abelian group...

1967 Waterhouse 1968 Brauner 1973 Akbarov 2003 Hewitt & Ross 1970 Kirillov 1976 Kirillov 1976, 12.3 Akbarov 2009 Enock & Schwartz 1992 Timmermann 2008 Kustermans...

Folland 1989, p. 52 Howe 1980 Paley & Wiener 1934 Gelfand & Vilenkin 1964 Kirillov & Gvishiani 1982 Clozel & Delorme 1985, pp. 331–333 de Groot & Mazur 1984...

arXiv:math.AG/0010246, doi:10.1090/S0894-0347-01-00373-3, S2CID 9253880 Kirillov, A. A. (1997), "Lectures on affine Hecke algebras and Macdonald's conjectures"...

groups, a very detailed theory is available. Selberg trace formula Langlands program Kirillov orbit theory Discrete series representation Zonal spherical...

Unitary Group Representations, The University of Chicago Press, 1976. Kirillov, A. A. (1976), Elements of the theory of representations, Grundlehren der...

Amer. Math. Soc. 65: 116–136. doi:10.1090/s0002-9947-1949-0029366-6. Kirillov, A. (2008). An Introduction to Lie Groups and Lie Algebras. Cambridge Studies...

theory", Encyclopedia of Mathematics, EMS Press, 2001 [1994] Alexander Kirillov Jr., An introduction to Lie groups and Lie algebras (2008). Textbook, preliminary...

Society. 3 (2): 821–843. doi:10.1090/s0273-0979-1980-14825-9. MR 0578375. Kirillov, Alexandre A. (2004). "Ch. 2: "Representations and Orbits of the Heisenberg...

and Gérard Laumon, 2004) Milnor conjecture (Vladimir Voevodsky, 2003) Kirillov's conjecture (Ehud Baruch, 2003) Kouchnirenko's conjecture (Bertrand Haas...

German), 31 (2 (June)): 252–290, doi:10.1007/bf01211904, S2CID 120501356 Kirillov, A. (2008), An Introduction to Lie Groups and Lie Algebras, Cambridge Studies...

Chelomey, V. Sadovnichy and V. Maslov (presently academicians), M. Graev, А. Kirillov. In 1974 Gvishiani defended his PhD thesis devoted to the theory of functions...

known in the literature under the names of Lie-Poisson, Kirillov-Poisson or KKS (Kostant-Kirillov-Souriau) structure: { f , g } ( ξ ) := ξ ( [ d ξ f , d...

Conway (2000, ISBN 978-0-8218-2065-0) 22 Growth of Algebras and Gelfand-Kirillov Dimension, Günter R. Krause, Thomas H. Lenagan (2000, Revised ed.,...

to Be a Millionaire? from 2001 to 2008, and The Million Pound Drop Igor Kirillov, for 30 years a news anchor of the Soviet Central Television's prime time...