On a certain finite group connected with the cubic theta function.
On a class of groups with strongly embedded subgroup.
On a conjecture of Alperin and McKay.
On a conjecture of Kottwitz and Rapoport
We prove a conjecture of Kottwitz and Rapoport which implies a converse to Mazur’s Inequality for all (connected) split and quasi-split unramified reductive groups. Our results are related to the non-emptiness of certain affine Deligne-Lusztig varieties.
On a cubic Hecke algebra associated with the quantum group
We define an operator α on ℂ³ ⊗ ℂ³ associated with the quantum group , which satisfies the Yang-Baxter equation and a cubic equation (α² - 1)(α + q²) = 0. This operator can be extended to a family of operators on with 0 ≤ j ≤ n - 2. These operators generate the cubic Hecke algebra associated with the quantum group . The purpose of this note is to present the construction.
On a functorial property of power residue symbols. Erratum : Solution of the congruence subgroup problem for and
On a group that acts freely on an Abelian group.
On algebraic tori of norm type.
On Automorphic Forms and Hodge Theory.
On automorphism groups of -adic Schottky curves
On Balancing and Lucas-balancing Quaternions
The aim of this article is to investigate two new classes of quaternions, namely, balancing and Lucas-balancing quaternions that are based on balancing and Lucas-balancing numbers, respectively. Further, some identities including Binet's formulas, summation formulas, Catalan's identity, etc. concerning these quaternions are also established.
On certain algebraic groups attached to local number-fields.
On Certain Classical Groups over Hasse Domains.
On certain closed subgroups of .
On Certain Representations of Semi-Simple Algebraic Groups and the Arithmetic of the Corresponding Invariants.
On classical invariant theory and binary cubics
Let be a reductive complex algebraic group, and let denote the algebra of invariant polynomial functions on the direct sum of copies of the representations space of . There is a smallest integer such that generators and relations of can be obtained from those of by polarization and restitution for all . We bound and the degrees of generators and relations of , extending results of Vust. We apply our techniques to compute the invariant theory of binary cubics.
On Collineation Groups of Finite Projective Spaces.
On complete orbit spaces of SL(2) actions
On complete orbit spaces of SL(2) actions, II
The aim of this paper is to extend the results of [BB-Ś2] concerning geometric quotients of actions of SL(2) to the case of good quotients. Thus the results of the present paper can be applied to any action of SL(2) on a complete smooth algebraic variety, while the theorems proved in [BB-Ś2] concerned only special situations.
On conjugating representations and adjoint representations of semisimple groups.