Symmetry And Group

# Download A Character Formula for Representations of Loop Groups Based by Wendt R. PDF

By Wendt R.

Read Online or Download A Character Formula for Representations of Loop Groups Based on Non-simply Connected Lie Groups PDF

Best symmetry and group books

Symplectic Groups

This quantity, the sequel to the author's Lectures on Linear teams, is the definitive paintings at the isomorphism idea of symplectic teams over quintessential domain names. lately chanced on geometric equipment that are either conceptually easy and robust of their generality are utilized to the symplectic teams for the 1st time.

Representation theory of semisimple groups, an overview based on examples

During this vintage paintings, Anthony W. Knapp deals a survey of illustration concept of semisimple Lie teams in a manner that displays the spirit of the topic and corresponds to the normal studying method. This ebook is a version of exposition and a useful source for either graduate scholars and researchers.

Szego's Theorem and Its Descendants: Spectral Theory for L2 Perturbations of Orthogonal Polynomials

This ebook offers a accomplished review of the sum rule method of spectral research of orthogonal polynomials, which derives from Gábor Szego's vintage 1915 theorem and its 1920 extension. Barry Simon emphasizes useful and enough stipulations, and offers mathematical history that beforehand has been to be had merely in journals.

Additional resources for A Character Formula for Representations of Loop Groups Based on Non-simply Connected Lie Groups

Sample text

Similarly, the group Wσc = W0 (Twc ) is iso- A character formula for representations of loop groups 579 morphic to the Weyl group of the root system σc . So the character χλ,k closely resembles a character of an irreducible highest weight module of an affine Lie algebra corresponding to the root system σc . 6. Since we are mainly interested in the case of loop groups based on connected but not necessarily simply connected Lie groups G, we restricted our attention to automorphisms σc of the extended Dynkin diagram of which are associated to elements of the center of the universal cover G of G.

J. Funct. Anal.

Math. Phys. : The arithmetic theory of loop algebras. J. : The arithmetic theory of loop groups. Publ. Math. : Structure of unitary cocycle representations of loop groups and the group of diffeomorphisms of the circle. J. Reine Angew. Math. : On unstable bundles over elliptic curves. Publ. Res. Inst. Math. Sci. : Infinite-dimensional Lie Algebras. : Lie algebra cohomology and the generalized Borel-Weil theorem. Ann. of Math. :Root Systems and Elliptic Curves. Invent. Math. : Conjugacy classes of non-connected semisimple algebraic groups.