Supersymmetry is a highly active area of considerable interest among physicists and
mathematicians. It is not only fascinating in its own right, but there is also indication that it …

This book is aimed at graduate students and researchers in physics and mathematics who
seek to understand the basics of supersymmetry from a mathematical point of view. It …

It was proved by the first-named author and Zubkov 13 that given an affine algebraic
supergroup GG and a closed sub-supergroup ℍ over an arbitrary field of characteristic≠ 2 …

Universe | Free Full-Text | Super Bundles Next Article in Journal Asymptotic Charges at Null
Infinity in Any Dimension Next Article in Special Issue String Sigma Models on Curved …

In this paper we discuss the highest weight kr k _r-finite representations of the pair (𝔤 r, kr k
_r) consisting of 𝔤 r, a real form of a complex basic Lie superalgebra of classical type 𝔤 (𝔤≠ …

We review the basic theory of super $ G $-spaces. We prove a theorem relating the action of
a super Harish-Chandra pair $(G_0,\mathfrak {g}) $ on a supermanifold to the action of the …

A new generalization of Grassmannians in supergeometry, called ν ν-Grassmannians, are
constructed by gluing ν ν-domains. By a ν ν-domain, we mean a superdomain with an odd …

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Quantum homogeneous superspaces and quantum duality principle × Close The Infona portal
uses cookies, ie strings of text saved by a browser on the user's device. The portal can access …

In this paper, we give an explicit description of the action of the super Lie group GL (m| n) on
supergrassmannian G k| l (m| n) in the functor of points language. In particular, we give a …