Bands of nil-extensions of right simple semigroups.
Bands of power-joined semigroups.
Bands of unipotent monoids.
Bar complexes and extensions of classical exponential functors
We compute Ext-groups between classical exponential functors (i.e. symmetric, exterior or divided powers) and their Frobenius twists. Our method relies on bar constructions, and bridges these Ext-groups with the homology of Eilenberg-Mac Lane spaces.This article completes earlier results of the author, and provides an alternative approach to classical Ext-computations in the category of strict polynomial functors over fields. We also obtain significant Ext-computations for strict polynomial functors...
Bar-invariant bases of the quantum cluster algebra of type
We construct bar-invariant -bases of the quantum cluster algebra of the valued quiver , one of which coincides with the quantum analogue of the basis of the corresponding cluster algebra discussed in P. Sherman, A. Zelevinsky: Positivity and canonical bases in rank 2 cluster algebras of finite and affine types, Moscow Math. J., 4, 2004, 947–974.
Barnes' identities and representations of GL (2). I. Finite field case.
Barnes' identities and representations of GL (2). II. Nonarchimedian local field case.
Barycentric-sum problems: a survey.
Bascules associatives
Base change for Bernstein centers of depth zero principal series blocks
Let be an unramified group over a -adic field. This article introduces a base change homomorphism for Bernstein centers of depth-zero principal series blocks for and proves the corresponding base change fundamental lemma. This result is used in the approach to Shimura varieties with -level structure initiated by M. Rapoport and the author in [15].
Bases canoniques et applications
Bases des représentations des groupes simples complexes
Bases for certain varieties of completely regular semigroups
Completely regular semigroups equipped with the unary operation of inversion within their maximal subgroups form a variety, denoted by . The lattice of subvarieties of is denoted by . For each variety in an -subsemilattice of , we construct at least one basis of identities, and for some important varieties, several. We single out certain remarkable types of bases of general interest. As an application for the local relation , we construct -classes of all varieties in . Two figures illustrate...
Bases of certain finite groups
Bases of minimal elements of some partially ordered free abelian groups
In the present paper, we will show that the set of minimal elements of a full affine semigroup contains a free basis of the group generated by in . This will be applied to the study of the group for a semilocal ring .
Bases of web Configurations
Basic conjugacy theorems for G2.
Basic results on braid groups
These are Lecture Notes of a course given by the author at the French-Spanish School Tresses in Pau, held in Pau (France) in October 2009. It is basically an introduction to distinct approaches and techniques that can be used to show results in braid groups. Using these techniques we provide several proofs of well known results in braid groups, namely the correctness of Artin’s presentation, that the braid group is torsion free, or that its center is generated by the full twist. We also recall some...
Basic Sets of Brauer Characters of finite groups of Lie type, III.
Basic sets of Brauer characters of finite groups of Lie type.