Result: Graded Multiplicities in the Exterior Algebra: Graded multiplicities in the exterior algebra

Title:
Graded Multiplicities in the Exterior Algebra: Graded multiplicities in the exterior algebra
Authors:
Yuri Bazlov
Source:
Advances in Mathematics. 158:129-153
Publication Status:
Preprint
Publisher Information:
Elsevier BV, 2001.
Publication Year:
2001
Subject Terms:
Mathematics(all), Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Symmetric functions and generalizations, Lie algebra, representations, 17B20, 33D52, 01 natural sciences, simple Lie algebras, FOS: Mathematics, multiplicity, Mathematics - Combinatorics, Macdonald polynomials, Combinatorics (math.CO), Representation Theory (math.RT), 0101 mathematics, Simple, semisimple, reductive (super)algebras, Mathematics - Representation Theory, exterior algebra
Document Type:
Academic journal Article
File Description:
application/xml
Language:
English
ISSN:
0001-8708
DOI:
10.1006/aima.2000.1969
DOI:
10.48550/arxiv.math/0012244
Access URL:
http://arxiv.org/abs/math/0012244
https://www.sciencedirect.com/science/article/pii/S0001870800919698
https://www.sciencedirect.com/science/article/abs/pii/S0001870800919698
https://core.ac.uk/display/82511489
https://ui.adsabs.harvard.edu/abs/2000math.....12244B/abstract
Rights:
Elsevier Non-Commercial
arXiv Non-Exclusive Distribution
Accession Number:
edsair.doi.dedup.....96766b08b51ed50b97c07d3c1694196d
Database:
OpenAIRE

Further Information

We know the multiplicity of the adjoint representation of a semisimple Lie algebra in its own exterior algebra, but how do its copies distribute themselves between the exterior powers? The answer (the graded multiplicity) is obtained with the aid of Macdonald polynomials.
24 pages, to appear in Adv. Math