Interrelations of symplectic and orthogonal groups in characteristic two
نویسندگان
چکیده
منابع مشابه
Two Exterior Algebras for Orthogonal and Symplectic Quantum Groups
Let Γ be one of the N-dimensional bicovariant first order differential calculi on the quantum groups Oq(N) or Spq(N), where q is not a root of unity. We show that the second antisymmetrizer exterior algebra sΓ ∧ is the quotient of the universal exterior algebra uΓ ∧ by the principal ideal generated by θ∧θ. Here θ denotes the unique up to scalars bi-invariant 1-form. Moreover θ∧θ is central in u...
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The projective orthogonal and symplectic groups POn(F ) and PSpn(F ) have a natural action on the F vector space V ′ = Mn(F ) ⊕ . . . ⊕ Mn(F ). Here we assume F is an infinite field of characteristic not 2. If we assume there is more than one summand in V , then the invariant fields F (V )n and F (V )n are natural objects. They are, for example, the centers of generic algebras with the appropri...
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Let G be a finite group and let cd(G) be the set of irreducible ordinary character degrees of G. The degree graph of G is the graph ∆(G) whose set of vertices is the set of primes dividing degrees in cd(G), with an edge between primes p and q if pq divides some degree in cd(G). We determine the graph ∆(G) for the finite simple groups of types B`, C`, D` and D`; that is, for the simple orthogona...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1979
ISSN: 0021-8693
DOI: 10.1016/0021-8693(79)90157-1