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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.

0 votes
1 answer
261 views

Quadratic Casimir of symplectic group

Does anyone know the formula for the value of quadratic Casimir of the symplectic group $Sp(2N)$ in the fundamental representation? In this definition, $Sp(2)=SU(2)$. Thanks a lot.
Mr. Gentleman's user avatar
3 votes
0 answers
177 views

Classifications of projective representations of $SO(N)$ and $SO(N)\times Z_2^T$

This question is motivated by some physics questions: what are the classifications of projective representations of groups $SO(N)$ and $SO(N)\times Z_2^T$? This is equivalent to asking what are $H^2(S …
Mr. Gentleman's user avatar