Zobrazeno 1 - 10 of 29 pro vyhledávání: '"D. P. Zhelobenko"'
1
Some Problems of Harmonic Analysis on Reductive Groups
Autor: D. P. Zhelobenko
Publikováno v: Acta Applicandae Mathematicae. 81:355-383
An algebraic approach to harmonic analysis on reductive Lie groups is proposed. The case of complex semisimple Lie groups is considered in details. Some problems for real reductive Lie groups are discussed.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b1b38c91494cec627d0f048f0dca231e
https://doi.org/10.1023/b:acap.0000024209.38381.57
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3
Universal Verma modules andW-resolvents over Kač-Moody algebras
Autor: D. P. Zhelobenko
Publikováno v: Theoretical and Mathematical Physics. 122:278-297
We consider new aspects of extremal equations over symmetrizable Kac-Moody algebras. We develop new methods (reproducing classical finite-dimensional results) that can be applied to infinite-dimensional (affine) Lie algebras. We describe special exte
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c0dda9a4b30bec06a8e6da27a6523ec9
https://doi.org/10.1007/bf02551242
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5
Weyl algebras over quantum groups
Autor: D. P. Zhelobenko
Publikováno v: Theoretical and Mathematical Physics. 118:152-163
The term “Weyl algebras” is proposed for differential algebras associated with dual pairs of Hopf algebras. The principle of complete reducibility for the category of “admissible” modules over Weyl algebras is proved. Comodule structures that
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3a83a67c954a8d3e57554c225f47b15f
https://doi.org/10.1007/bf02557308
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6
Differential operators and differential calculus in quantum groups
Autor: D P Zhelobenko
Publikováno v: Izvestiya: Mathematics. 62:673-694
The paper deals with abstract differential operators in bialgebras and Hopf algebras (quantum groups). We prove density theorems and structure theorems for the algebras of differential operators defined by dual pairs of Hopf algebras A, B and indicat
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::adb670a6837d7bf1cbe582b014b89adc
https://doi.org/10.1070/im1998v062n04abeh000191
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8
Differential operators on graded algebras
Autor: D P Zhelobenko
Publikováno v: Izvestiya: Mathematics. 60:281-303
We consider some general questions concerning the definition and study of abstract differential operators on associative graded algebras. Certain relations between special classes of these operators are studied. We prove some structure theorems and a
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::cac924c5a044283faed0074a69619c31
https://doi.org/10.1070/im1996v060n02abeh000071
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10
THE ALGEBRA OF QUANTUM BOSONS, THE SCHUBERT FILTRATION, AND LUSZTIG BASES
Autor: D P Zhelobenko
Publikováno v: Russian Academy of Sciences. Izvestiya Mathematics. 43:397-419
The "Schubert filtration", defined by means of the quantum Weyl group, is considered in Drinfel'd-Jimbo quantum algebras. A description is obtained for this filtration in terms of linear relations determined by the algebra of "quantum bosons", and al
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2d4de0a633ab151a1acbd567fe9233f1
https://doi.org/10.1070/im1994v043n03abeh001572
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