Howe duality and combinatorial character formula for orthosymplectic Lie superalgebras |
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| Authors: | Shun-Jen Cheng R.B. Zhang |
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| Affiliation: | a Department of Mathematics, National Taiwan University, Taipei, 106 Taiwan
b School of Mathematics and Statistics, University of Sydney, New South Wales 2006, Australia |
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| Abstract: | We study the Howe dualities involving the reductive dual pairs (O(d),spo(2m|2n)) and (Sp(d),osp(2m|2n)) on the (super)symmetric tensor of  . We obtain complete decompositions of this space with respect to their respective joint actions. We also use these dualities to derive a character formula for these irreducible representations of spo(2m|2n) and osp(2m|2n) that appear in these decompositions. |
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| Keywords: | 17B10 81R05 |
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