10 citations · 41 across the 11 of their papers we have counts for
11 papers
Local Forms of Morphisms of Colored Supermanifolds
Tiffany Covolo, Stephen Kwok, Norbert Poncin
In \cite{Covolo:2016}, \cite{Covolo:2012} and \cite{Poncin:2016}, we introduced the category of colored supermanifolds (-super\-ma\-ni\-folds or just $\mathbb{Z}_2^…
Quotients of complex algebraic supergroups
R. Fioresi, S. D. Kwok, D. W. Taylor
In this paper we prove that the etale sheafification of the functor arising from the quotient of an algebraic supergroup by a closed subsupergroup is representable by a smooth supe…
SUSY -supergroups and their real forms
R. Fioresi, S. D. Kwok
We study SUSY -supergroups, , their classification and explicit realization, together with their real forms. In the end, we give the supergroup of SUSY preserving automor…
The Frobenius theorem for -supermanifolds
Tiffany Covolo, Stephen Kwok, Norbert Poncin
We continue the development of -supergeometry, a natural generalization of classical (-graded) supergeometry, by proving the Frobenius theorem for int…
Differential calculus on -supermanifolds
Tiffany Covolo, Stephen Kwok, Norbert Poncin
The concept of $\Zn$-supermanifold has been recently proposed as a natural generalization of classical ($\Zs$-graded) supergeometry, allowing for more complicated commutativity con…
The Peter-Weyl Theorem for SU(1|1)
C. Carmeli, R. Fioresi, S. D. Kwok
We study a generalization of the results \in \cite{cfk} to the case of interpreted as the supercircle . We describe all of its finite dimensional complex irreduc…
The Projective Linear Supergroup and the SUSY-preserving automorphisms of
R. Fioresi, S. D. Kwok
The purpose of this paper is to describe the projective linear supergroup, its relation with the automorphisms of the projective superspace and to determine the supergroup of SUSY…
SUSY structures, representations and Peter-Weyl theorem for
C. Carmeli, R. Fioresi, S. D. Kwok
The real compact supergroup is analized from different perspectives and its representation theory is studied. We prove it is the only (up to isomorphism) supergroup, whic…
The geometry of -invertible sheaves
Stephen Kwok
Using the fact that -invertible sheaves can be interpreted as locally free sheaves of modules for the super skew field , we give a new construction of the -projec…
On SUSY curves
R. Fioresi, S. D. Kwok
In this note we give a summary of some elementary results in the theory of super Riemann surfaces (SUSY curves).
Super Morita Theory
Stephen Kwok
We develop the basics of Morita theory for super rings. As an application, we produce a more explicit super Morita equivalence in the case of super Azumaya algebras.