منابع مشابه
Eigenvalues of Products of Unitary Matrices and Lagrangian Involutions
This paper introduces a submanifold of the moduli space of unitary representations of the fundamental group of a punctured sphere with fixed local monodromy. The submanifold is defined via products of involutions through Lagrangian subspaces. We show that the moduli space of Lagrangian representations is a Lagrangian submanifold of the moduli of unitary representations.
متن کاملRepresentations of the fundamental group of an l-punctured sphere generated by products of Lagrangian involutions
In this paper, we characterize unitary representations of π := π1(S \{s1, . . . , sl}) whose generators u1, . . . , ul (lying in conjugacy classes fixed initially) can be decomposed as products of two Lagrangian involutions uj = σjσj+1 with σl+1 = σ1 . Our main result is that such representations are exactly the elements of the fixed-point set of an anti-symplectic involution defined on the mod...
متن کاملPfister Involutions
The question of the existence of an analogue, in the framework of central simple algebras with involution, of the notion of Pfister form is raised. In particular, algebras with orthogonal involution which split as a tensor product of quaternion algebras with involution are studied. It is proven that, up to degree 16, over any extension over which the algebra splits, the involution is adjoint to...
متن کاملDiscriminant of Symplectic Involutions
We define an invariant of torsors under adjoint linear algebraic groups of type Cn—equivalently, central simple algebras of degree 2n with symplectic involution—for n divisible by 4 that takes values in H(k, μ2). The invariant is distinct from the few known examples of cohomological invariants of torsors under adjoint groups. We also prove that the invariant detects whether a central simple alg...
متن کاملThe Topology of Involutions.
An extensive theory of the topology associated with finite groups of continuous transformations remains to be developed. Mr. M. Richardson has evaluated the Betti numbers of the "domain of discontinuity" in a case of considerable generality and his methods' yield equally well certain modulo p invariants. They seem to be inadequate, however, when p equals a, the order of the group. We shall brie...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1976
ISSN: 0024-3795
DOI: 10.1016/0024-3795(76)90054-9