Spin and wedge representations of infinite-dimensional Lie algebras and groups (original) (raw)

Current algebras ind+1-dimensions and determinant bundles over infinite-dimensional Grassmannians

Jouko Mickelsson

Communications in Mathematical Physics, 1988

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Structure of some categories of representations of infinite-dimensional lie algebras

Victor Kac

Advances in Mathematics, 1982

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Representations of the generalized Lie algebra

Tony Sudbery

Journal of Physics A: Mathematical and General, 1998

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Certain topics on the representation theory of the Lie algebra gl(?)

Boris Shoikhet

Journal of Mathematical Sciences, 1998

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Classification and Construction of Ouasisimple Lie Algebras

Bruno Torresani

1986

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A new class of unitarizable highest weight representations of infinite-dimensional Lie algebras, II

Victor Kac

Journal of Functional Analysis, 1989

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Some Infinite-Dimensional Algebras Arising in Spin Systems and in Particle Physics and their Grand Algebra

Daniel Sternheimer

1998

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Karl-hermann Neeb

Oberwolfach Reports, 2000

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Certain Topics on the Lie Algebra gl(lambda) Representation Theory

Boris Shoikhet

1997

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Lie Groups and Lie Algebras

José Carlos Santos

Documenta Mathematica

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Representation Theory of Infinite Dimensional Reductive Lie Groups

Patrick J R Ryan

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Victor Kac

Advances in Mathematics, 1998

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Zgj Zhang

2003

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Tomoyuki Arakawa

2006

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Introduction to quantum Lie algebras

Gustav Delius

Arxiv preprint q-alg/9605026, 1996

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Lie Algebras and Applications

Francesco Iachello

Lecture Notes in Physics, 2015

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C. Doran, F. Sommen, David Hestenes

Journal of Mathematical Physics, 1993

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Seminar on Lie groups, Lie algebras and their representations

Bernd Ammann

2020

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Characters and blocks for finite-dimensional representations of quantum affine algebras

Vyjayanthi Chari

2005

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On defining relations of certain infinite-dimensional Lie algebras

Victor Kac

Bulletin of the American Mathematical Society, 1981

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On Defining Relations of Certain Infinite-Dimensional Lie ALGEBRAS1

Victor Kac

AMERICAN MATHEMATICAL SOCIETY, 1981

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Representations of Double Affine Lie algebras

Thang Le

2002

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Path Models for the Basic Representation of an Affine Lie Algebra

Peter Magyar

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Principal series representations of infinite dimensional Lie groups, II: Construction of induced representations

Joseph Wolf

2012

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Integrable representations of affine Lie-algebras

Vyjayanthi Chari

Inventiones Mathematicae, 1986

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Semi-Simple Lie Algebras and Their Representations

master Ruiz

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Integrable representations of twisted affine Lie algebras

Vyjayanthi Chari

Journal of Algebra, 1988

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Representations of differential operators on a Lie group, and conditions for a Lie algebra of operators to generate a representation of the group

Palle Jorgensen

Journal d'Analyse Mathématique, 1983

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Graded level zero integrable representations of affine Lie algebras

Vyjayanthi Chari

Transactions of the American Mathematical Society, 2007

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An Introduction to Lie Algebra

Amanda Talley

2017

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Omni-Lie Algebras

Alan Weinstein

1999

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Group-Algebraic Characterization of Spin Particles: Semi-Simplicity, \mathbf {\mathbf {SO}(2N)}$$ Structure and Iwasawa Decomposition

Norbert Hounkonnou

Advances in Applied Clifford Algebras

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Explicit constructions of some infinite families of finite-dimensional irreducible representations of the type _6 and _7 simple Lie algebras

Molly Dunkum

2021

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Some properties of the space ofn-dimensional Lie algebras

Vladimir Gorbatsevich

Sbornik: Mathematics, 2009

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D Fairlie & C Zachos DCPT-06/05 ANL-HEP-PR-06-35 Atavistic Lie Algebra hep-th/0503017 1 AN ATAVISTIC LIE ALGEBRA

Cosmas Zachos

2006

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