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1997 | 40 | 1 | 203-222
Tytuł artykułu

Representations of quantum groups and (conditionally) invariant q-difference equations

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We give a systematic discussion of the relation between q-difference equations which are conditionally $U_q(𝐺)$-invariant and subsingular vectors of Verma modules over $U_q(𝐺)$ (the Drinfeld-Jimbo q-deformation of a semisimple Lie algebra 𝐺 over ℂg or ℝ). We treat in detail the cases of the conformal algebra, 𝐺 = su(2,2), and its complexification, 𝐺 = sl(4). The conditionally invariant equations are the q-deformed d'Alembert equation and a new equation arising from a subsingular vector proposed by Bernstein-Gel'fand-Gel'fand.
Słowa kluczowe
Rocznik
Tom
40
Numer
1
Strony
203-222
Opis fizyczny
Daty
wydano
1997
Twórcy
  • Bulgarian Academy of Sciences, Institute of Nuclear Research and Nuclear Energy, 72 Tsarigradsko Chaussee, 1784 Sofia, Bulgaria
Bibliografia
  • [1] A.O. Barut and R. Rączka, Theory of Group Representations and Applications, II edition, (Polish Sci. Publ., Warsaw, 1980).
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  • [12] V.K. Dobrev, preprint ASI-TPA/22/94, (September 1994); invited talk at the Symposium 'Symmetries in Science VIII', (August 1994, Bregenz, Austria), Proceedings, ed. B. Gruber, (Plenum Press, NY, 1995) p. 55.
  • [13] V.K. Dobrev, Kazhdan-Lusztig polynomials and subsingular vectors, ICTP preprint IC/96/15 (January 1996).
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Typ dokumentu
Bibliografia
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Identyfikator YADDA
bwmeta1.element.bwnjournal-article-bcpv40z1p203bwm
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