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Basic references are Vogan’s notes on Sp(4, R): [?] (branching) and [?] (Hermitian forms). In fact these notes are largely a rewriting of [?] in more explicit atlas terms.
On the relation of symplectic algebraic cobordism to hermitian K-theory
symplectic algebraic cobordism hermitian K-theory
2010/11/9
We reconstruct hermitian K-theory via algebraic symplectic cobordism. In the motivic stable homotopy category SH(S) there is a unique morphism g : MSp -> BO of commutative ring T- spectra which sends...
A Note on the Trace Inequality for Products of Hermitian Matrix Power
Hermitian matrix Trace Inequality Skew Hermitian matrix
2008/7/3
A Note on the Trace Inequality for Products of Hermitian Matrix Power.
Hermitian Operators and Convex Functions
Hermitian operators eigenvalues operator inequalities Jensen's inequality
2008/7/1
Hermitian Operators and Convex Functions.
The Inertia of Hermitian Tridiagonal Block Matrices
Tridiagonal Block Matrices Hermitian Matrices Inertia Patterned Matrix
2008/6/26
Let H be a partitioned tridiagonal Hermitian matrix. We characterized the possible inertias of H by a system of linear inequalities involving the orders of the blocks, the inertia of the diagonal bloc...
Derivation of the Laplace-Beltrami operator for the zonal polynomials of positive definite Hermitian matrix argument
Laplace-Beltrami operator linear structures
2010/9/14
Some aspects of the complex linear structure theory, extending the real case due to Magnus (1988), are defined and studied. This theory provides complete proofs of conjectures given in literature arou...