A Littlewood-Richardson rule for evaluation representations of .
Leclerc, Bernard (2003)
Séminaire Lotharingien de Combinatoire [electronic only]
Similarity:
Displaying similar documents to “Universal Verma modules and the Misra-Miwa Fock space.”
A Littlewood-Richardson rule for evaluation representations of .
The Robinson-Schensted correspondence, crystal bases, and the quantum straightening at .
Leclerc, Bernard, Thibon, Jean-Yves (1996)
The Electronic Journal of Combinatorics [electronic only]
Similarity:
On certain class of unitarizable representations of the Lie algebra
Molev, A. I.
Similarity:
Classification of irreducible weight modules
Olivier Mathieu (2000)
Annales de l'institut Fourier
Similarity:
Let be a reductive Lie algebra and let be a Cartan subalgebra. A -module is called a if and only if , where each weight space is finite dimensional. The main result of the paper is the classification of all simple weight -modules. Further, we show that their characters can be deduced from characters of simple modules in category .
Verma module annihilators for quantized enveloping algebras
Anthony Joseph, Gail Letzter (1995)
Annales scientifiques de l'École Normale Supérieure
Similarity:
Composition-diamond lemma for modules
Yuqun Chen, Yongshan Chen, Chanyan Zhong (2010)
Czechoslovak Mathematical Journal
Similarity:
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...