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The adjoint representation of a Lie algebra and the support of Kostant's weight multiplicity formula
Even though weight multiplicity formulas, such as Kostant's formula, exist their computational use is extremely cumbersome. In fact, even in cases when the multiplicity is well understood, the number of terms considered in Kostant's formula is factor
Externí odkaz:
http://arxiv.org/abs/1401.0055
Autor:
Williams, Lauren Kelly
Let K be the product O(n_1) x O(n_2) x ... x O(n_r) of orthogonal groups. Let V the r-fold tensor product of defining representations of each orthogonal factor. We compute a stable formula for the dimension of the K-invariant algebra of degree d homo
Externí odkaz:
http://arxiv.org/abs/1209.5117
We provide formulas for invariants defined on a tensor product of defining representations of unitary groups, under the action of the product group. This situation has a physical interpretation, as it is related to the quantum mechanical state space
Externí odkaz:
http://arxiv.org/abs/0911.0222
Autor:
Williams, Lauren Kelly
Publikováno v:
Transactions of the American Mathematical Society, 2016 Feb 01. 368(2), 1411-1433.
Externí odkaz:
https://www.jstor.org/stable/tranamermathsoci.368.2.1411
The adjoint representation of a Lie algebra and the support of Kostant's weight multiplicity formula
Even though weight multiplicity formulas, such as Kostant's formula, exist their computational use is extremely cumbersome. In fact, even in cases when the multiplicity is well understood, the number of terms considered in Kostant's formula is factor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8fe75ab7b272680aa2810b9f6e99f553