Orthogonal and symplectic Yangians: Linear and quadratic evaluations

Quadratic Unipotent Blocks in General Linear, Unitary and Symplectic Groups

An irreducible ordinary character of a finite reductive group is called quadratic unipotent if it corresponds under Jordan decomposition to a semisimple element s in a dual group such that s = 1. We prove that there is a bijection between, on the one hand the set of quadratic unipotent characters of GL(n, q) or U(n, q) for all n ≥ 0 and on the other hand, the set of quadratic unipotent characte...

on the effect of linear & non-linear texts on students comprehension and recalling

چکیده ندارد.

Orthogonal Dual Hyperovals, Symplectic Spreads and Orthogonal Spreads

Orthogonal spreads in orthogonal spaces of type V (2n + 2, 2) produce large numbers of rank n dual hyperovals in orthogonal spaces of type V (2n, 2). The construction resembles the method for obtaining symplectic spreads in V (2n, q) from orthogonal spreads in V (2n + 2, q) when q is even.

INVARIANT FIELDS OF SYMPLECTIC AND ORTHOGONAL GROUPSDavid

Invariant Fields of Symplectic and Orthogonal Groups

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...