The universal conservative superalgebra

THE Q-q-SCHUR SUPERALGEBRA

As a natural generalisation of q-Schur algebras associated with the Hecke algebra Hr,R (of the symmetric group), we introduce the Q-q-Schur superalgebra associated with the Hecke-Clifford superalgebra H r,R, which, by definition, is the endomorphism algebra of the induced H r,R-module from certain q-permutation modules over Hr,R. We will describe certain integral bases for these superalgebras i...

Reversible Conservative Rational Abstract Geometrical Computation Is Turing-Universal

The Hopf superalgebra of AdS/CFT

We describe the unconventional infinite-dimensional Hopf superalgebra related to the integrable S-matrix of the AdS/CFT correspondence, and discuss its typical and atypical representations.

Membrane Worldvolume Superalgebra

In arXiv:0806.0363 the worldvolume superalgebra of the N = 8 Bagger-Lambert theory was calculated. In this paper we derive the general form for the worldvolume superalgebra of the N = 6 Bagger-Lambert theory. For a particular choice of three-algebra we derive the superalgebra of the ABJM theory. We interpret the associated central charges in terms of BPS brane configurations. In particular we f...

Derivations of the Algebra of Sections of Superalgebra Bundles

In this paper we review the concepts of the superalgebra, superderivation and some properties of them. We will define algebraic and differential superderivations on a superalgebra and will prove some theorems about them, Then we consider a superalgebra bundle, that is an algebra bundle which its fibers are superalgebras and then characterize the superderivations of the algebra of sections of th...