Representations of Anisotropic Unitary Groups
Copyright policy )Representations of Anisotropic Unitary Groups
Let S U ( f ) SU(f) be the special unitary group of an anisotropic hermitian form f f over a field k k . Assume f f represents only one norm class in k k . The representations α : S U ( f ) → S L ( n , R ) \alpha :\,SU(f) \to SL(n,\,R) are characterized when R R is a commutative ring with 2 2 not a zero divisor and n = dim f ⩾ 3 n = \dim f \geqslant 3 with n ≠ 4 , 6 n \ne 4,\,6 . In particular, a partial classification of the normal subgroups of S U ( f ) SU(f) is given when k k is the function field C ( X ) {\mathbf {C}}(X) .
- Pennsylvania State University United States
Representation theory for linear algebraic groups, normal subgroups, General binary quadratic forms, Unimodular groups, congruence subgroups (group-theoretic aspects), congruence subgroup, unitary or orthogonal group, anisotropic form
Representation theory for linear algebraic groups, normal subgroups, General binary quadratic forms, Unimodular groups, congruence subgroups (group-theoretic aspects), congruence subgroup, unitary or orthogonal group, anisotropic form
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