The garden of quantum spheres
A list of known quantum spheres of dimension one, two and three is presented.
The geometric reductivity of the quantum group
We introduce the concept of geometrically reductive quantum group which is a generalization of the Mumford definition of geometrically reductive algebraic group. We prove that if G is a geometrically reductive quantum group and acts rationally on a commutative and finitely generated algebra A, then the algebra of invariants is finitely generated. We also prove that in characteristic 0 a quantum group G is geometrically reductive if and only if every rational G-module is semisimple, and that in...
The Geometry of Representations of Am .
The Grothendieck group of G-equivariant modules over coordinate rings of G-orbits
The group Sp10(ℤ) is (2,3)-generated
It is proved that the group Sp10(ℤ) is generated by an involution and an element of order 3.
The homology of special linear groups over polynomial rings
The integral homology of SL2 and PSL2 of euclidean imaginary quadratic integers.
The Langlands Quotient Theorem for p-adic Groups.
The Lattice automorphisms of simple algebraic groups over F2.
The manifold of the unitary group over the dual numbers. (La variété du groupe unitaire dual.)
The modular representation theory of q-Schur algebras. II.
The monoid of semisimple multiclasses of the group .
The multipliers of similitudes and the Brauer group of homogeneous varieties.
The nil Hecke ring and singularity of Schubert varieties.
The Non-Solvable Hall Subgroups of the General Linear Group.
The normality of closures of conjugacy classes of matrices.
The Normalizer of the level (2,2)-Heisenberg Group.
The notion of norm and the representation theory of orthogonal groups.
The periodic groups saturated by finitely many finite simple groups.
The Picard-Vessiot closure in differential Galois theory