Traceless tensors and invariants
1998 ◽
Vol 124
(1)
◽
pp. 73-80
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Keyword(s):
For G a classical group of type Bn, Cn or Dn defined over an algebraically closed field (of characteristic other than two if G is a special orthogonal group), we show that the centralizer algebra of G on the space of endomorphisms of the module of traceless tensors Wr is naturally isomorphic to the group algebra of the symmetric group Sr if r[les ]n (for G of type Bn or Cn) or if r<n (for G of type Dn). This extends a characteristic zero result of Brauer and Weyl and recovers some of the related characteristic free results that De Concini and Strickland obtained for G of type Cn.
2010 ◽
Vol 09
(01)
◽
pp. 11-15
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Keyword(s):
2012 ◽
Vol 56
(1)
◽
pp. 49-56
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Keyword(s):
2002 ◽
Vol 34
(3)
◽
pp. 301-307
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Keyword(s):
1968 ◽
Vol 9
(2)
◽
pp. 146-151
◽
1991 ◽
Vol 122
◽
pp. 161-179
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2012 ◽
Vol 55
(1)
◽
pp. 208-213
◽
2004 ◽
Vol 77
(1)
◽
pp. 123-128
◽
1987 ◽
Vol 107
◽
pp. 147-157
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2006 ◽
Vol 74
(01)
◽
pp. 41-58
◽
1994 ◽
Vol 37
(3)
◽
pp. 374-383
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Keyword(s):