- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:34
Publications of the Research Institute for Mathematical Sciences
Publ. Res. Inst. Math. Sci.
PRIMS
0034-5318
1663-4926
General
10.4171/PRIMS
http://www.ems-ph.org/doi/10.4171/PRIMS
subscribers, moving wall 5 years
European Mathematical Society Publishing House
Zuerich, Switzerland
© Research Institute for Mathematical Sciences, Kyoto University
28
1992
6
Projection Maps for Tensor Products of gl(r, C)-Representations
Georgia
Benkart
University of Wisconsin, MADISON, UNITED STATES
Daniel
Britten
University of Windsor, WINDSOR, ONTARIO, CANADA
Frank
Lemire
University of Windsor, WINDSOR, ONTARIO, CANADA
We investigate the tensor product T =V(╏)⊗ ⋯ ⊗T =V(λm) of the finite dimensional irreducible G = gl(r, C) modules labelled by partitions ╏,⋯,λm of m not necessarily distinct numbers n1,⋯,nm respectively. We determine the centralizer algebra EndG(T) and the projection maps of T onto its irreducible G-summands and give an explicit construction of the corresponding maximal vectors. In the special case that ni = 1 for i = 1,⋯,m, the results reduce to the well-known results of Schur and Weyl.
Nonassociative rings and algebras
General
983
1010
10.2977/prims/1195167734
http://www.ems-ph.org/doi/10.2977/prims/1195167734