Orthosymplectically invariant functions in superspace
نویسندگان
چکیده
منابع مشابه
Classical symmetric functions in superspace
We present the basic elements of a generalization of symmetric function theory involving functions of commuting and anticommuting (Grassmannian) variables. These new functions, called symmetric functions in superspace, are invariant under the diagonal action of the symmetric group on the sets of commuting and anticommuting variables. In this work, we present the superspace extension of the clas...
متن کاملIntegral Properties of Zonal Spherical Functions, Hypergeometric Functions and Invariant
Some integral properties of zonal spherical functions, hypergeometric functions and invariant polynomials are studied for real normed division algebras.
متن کاملPieri rules for Schur functions in superspace
This talk is about recent work with Luc Lapointe of the Universidad de Talca in Chile. I will present what it means to be a Schur function in superspace and what properties they have. One of the first steps to building a theory of symmetric function theory in superspace is to describe the Pieri rules for these superspace versions of Schur functions. In our research, we have described them and p...
متن کاملThe cohomology of superspace, pure spinors and invariant integrals
The superform construction of supersymmetric invariants, which consists of integrating the top component of a closed superform over spacetime, is reviewed. The cohomological methods necessary for the analysis of closed superforms are discussed and some further theoretical developments presented. The method is applied to higher-order corrections in heterotic string theory up to α. Some partial r...
متن کاملInvariant assertions, invariant relations, and invariant functions
Invariant assertions play an important role in the analysis and documentation of while loops of imperative programs. Invariant functions and invariant relations are alternative analysis tools that are distinct from invariant assertions but are related to them. In this paper we discuss these three concepts and analyze their relationships. The study of invariant functions and invariant relations ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2010
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.3462685