Irreducible modules for the quantum affine algebra <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi>U</mml:mi><mml:mi>q</mml:mi></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="fraktur">g</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> and its Borel subalgebra <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi>U</mml:mi><mml:mi>q</mml:mi></mml:msub><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="fraktur">g</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mo>⩾</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:math>-Reference-Cited by-同舟云学术

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Irreducible modules for the quantum affine algebra Uq(g) and its Borel subalgebra Uq(g)⩾0

Published:2007-10 Issue:1 Volume:316 Page:231-253
ISSN:0021-8693
Container-title:Journal of Algebra
language:en
Short-container-title:Journal of Algebra

Author:

Bowman John

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference14 articles.

1. Irreducible modules for the quantum affine algebra Uq(slˆ2) and its Borel subalgebra Uq(slˆ2)⩾0;Benkart;J. Algebra,2004

2. Symmetric functions and representations of quantum affine algebras;Chari,2002

3. A Guide to Quantum Groups;Chari,1994

4. Quantum affine algebras and their representations;Chari,1995

5. Lectures on Representation Theory and Knizhnik–Zamolodchikov Equations;Etingof,1998

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1. Representations of Shifted Quantum Affine Algebras;International Mathematics Research Notices;2022-06-07

2. Equitable Presentations for Multiparameter Quantum Groups;Acta Mathematica Sinica, English Series;2021-10

3. Quantum Grothendieck rings as quantum cluster algebras;Journal of the London Mathematical Society;2020-07-27

4. Finite Type Modules and Bethe Ansatz Equations;Annales Henri Poincaré;2017-04-06

5. Asymptotic representations and Drinfeld rational fractions;Compositio Mathematica;2012-07-10

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