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Let $M_{n}$ be the multiplicative semigroup of all $n \times n$ complex matrices, and let $U_{n}$ and $G L_{n}$ be the $n$ –degree unitary group and general linear group over complex number field, respectively. We characterize group homomorphisms from $U_{n}$ to $G L_{m}$ when $n > m \geq 1$ or $n = m \geq 3$ , and thereby determine multiplicative homomorphisms from $U_{n}$ to $M_{m}$ when $n > m \geq 1$ or $n = m \geq 3$ . This generalize Hochwald’s result in [Lin. Alg. Appl. 212/213:339-351(1994)]: if $f : U_{n} \to M_{n}$ is a spectrum–preserving multiplicative homomorphism, then there exists a matrix $R$ in $G L_{n}$ such that $f (A) = R A R$ for...

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Hecke operators on the $q$ -analogue of group cohomology.

Hilbert's Fourteenth Problem for Non-Reductive Groups.

Holomorphy of Eisenstein series at special points and cohomology of arithmetic subgroups of SLn (Q).

Homogeneous varieties for semisimple groups of rank one

Homological Properties of Certain Arithmetic Groups in the Function Field Case.

Homologie du groupe linéaire et polylogarithmes

Homology of classical Lie groups made discrete, I. Stability theorems and Schur mulipliers.

Homology of the Infinite Orthogonal and Symplectic Groups over Algebraically Closed Fields.

Homology of the Steinberg variety and Weyl group coinvariants.

Homology Stability for GLn of a Dedekind Domain.

Homology Stability for Linear Groups.

Homology stability for orthogonal groups over algebraically closed fields

Homology stability for the special linear group of a field and Milnor-Witt $K$ -theory.

Homomorphisms from the unitary group to the general linear group over complex number field and applications

Homomorphisms of Unitary Groups.

Homotopy Theory for the p-adic Special Linear Group.

I gruppi semplici minimali sono individuati reticolarmente in senso stretto

Imprimitive Maximal Subgroups of the Orthogonal, Special Orthogonal, Unitary and Special Unitary Groups.

Induced Cuspidal Representations and Generalised Hecke Rings.

Induced Modules and Affine Quotients.

Currently displaying 381 – 400 of 1248