期刊
DISCRETE MATHEMATICS
卷 309, 期 23-24, 页码 6508-6514出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.disc.2009.06.021
关键词
Hilbert series; Kronecker coefficients; Quantum entanglement; Schur-Weyl duality
类别
资金
- University of Wisconsin - Milwaukee, Research Growth Initiative Grant
- National Security Agency grant [H98230-09-0054]
We compute a stable formula for the Hilbert series of the invariant algebra of polynomial functions on circle times(r)(i=1) C-ni under the action of U(n(1)) x ... x U(n(r)) when viewed as real vector space. This situation has a physical interpretation as it is the quantum analog of an r-particle classical system in which the ith particle has n(i) classical states. The stable formula involves only elementary combinatorics, while its derivation involves the representation theory of the symmetric group. In particular, the Kronecker coefficients play an important role. (C) 2009 Elsevier B.V. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据