Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 5 of 5 for “"Lie superalgebras"”.
-
Supersymmetric Schur functions and Lie superalgebra representations
Lie superalgebras and their representations continue to play an important role in the understanding and exploitation of supersymmetry in physical systems. The Lie superalgebras that we consider, namely gl(m|n) and sl(m|n) (sometimes denoted as U(m|n) and SU(m|n)), have applications in quantum …
-
On Lie Theory in the Verlinde Category
… can be used to provide new constructions of Lie superalgebras, and in particular exceptional simple Lie superalgebras in low characteristic. We also show that in characteristic 5 a new algebraic structure we call a "weak Jordan algebra" arises. Finally, we classify bilinear forms in the …
-
Spherical Functions on Supersymmetric Spaces and Calogero-Moser-Sutherland Operators
… Hopf superalgebra structure of enveloping superalgebras. We present a comprehensive framework for spherical functions within the context of symmetric pairs (𝔤, 𝔨) of Lie superalgebras. Our analysis begins by constructing an algebraic radial component map for the spherical functions. …
-
Graded-commutative nonassociative algebras: higher octonions and Krichever-Novikov superalgebras; their structures, combinatorics and non-trivial cocycles.
… $\cC l_{p,q}$. In the second part we consider superalgebras of Krichever-Novikov (K-N) type. Krichever and Novikov introduced a family of Lie algebras with two marked points generalizing the Witt algebra and its central extension called the Virasoro algebra. The K-N Lie (super)algebras for more …