Constructing homomorphisms between Verma modules.
de Graaf, Willem A. (2005)
Journal of Lie Theory
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de Graaf, Willem A. (2005)
Journal of Lie Theory
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Leclerc, Bernard, Thibon, Jean-Yves (1996)
The Electronic Journal of Combinatorics [electronic only]
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Ram, Arun, Tingley, Peter (2010)
International Journal of Mathematics and Mathematical Sciences
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Welleda Baldoni, Pierluigi Möseneder Frajria (1999)
Annales de l'institut Fourier
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Let a noncompact symmetric space with Iwasawa decomposition . The Harish-Chandra homomorphism is an explicit homomorphism between the algebra of invariant differential operators on and the algebra of polynomials on that are invariant under the Weyl group action of the pair . The main result of this paper is a generalization to the quantum setting of the Harish-Chandra homomorphism in the case of being an hermitian (classical) symmetric space
Yuqun Chen, Yongshan Chen, Chanyan Zhong (2010)
Czechoslovak Mathematical Journal
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We investigate the relationship between the Gröbner-Shirshov bases in free associative algebras, free left modules and “double-free” left modules (that is, free modules over a free algebra). We first give Chibrikov’s Composition-Diamond lemma for modules and then we show that Kang-Lee’s Composition-Diamond lemma follows from it. We give the Gröbner-Shirshov bases for the following modules: the highest weight module over a Lie algebra , the Verma module over a Kac-Moody algebra, the...
Nikolai Vavilov (2000)
Rendiconti del Seminario Matematico della Università di Padova
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Einstein, David, Lichtblau, Daniel, Strzebonski, Adam, Wagon, Stan (2007)
Integers
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Leclerc, Bernard (2003)
Séminaire Lotharingien de Combinatoire [electronic only]
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Lux, Klaus M., Szőke, Magdolna (2003)
Experimental Mathematics
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