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Semi-infinite highest weight categories / by Jonathan Brundan and Catharina Stroppel.
Math/Physics/Astronomy Library QA3 .A57 no.1459
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LIBRA QA3 .A57 no.1-no.154, no.156-no.228, no.230-no.236, no.238-no.289, no.291-no.312, no.314-no.334, no.336-no.338
Available from offsite location
Math/Physics/Astronomy Library QA3 .A57 no.313 (1984),no.335 (1985),no.339 (1986)-no.599 (1997) no.605 (1997)-no.860 (2006),no.865 (2006)-no.1243 (2019),no.1252 (2019)-no.1286 (2020),no.1288 (2020)-no.1385 (2022),no.1392 (2023)-no.1548 (2025),no.1554 (2025)-no.1626 (2026)
Mixed Availability
- Format:
- Book
- Author/Creator:
- Brundan, Jonathan, 1970- author.
- Stroppel, Catharina, author.
- Series:
- Memoirs of the American Mathematical Society ; 0065-9266 v. 1459.
- Memoirs of the American Mathematical Society, 0065-9266 ; v. 1459
- Language:
- English
- Subjects (All):
- Algebra.
- algebra.
- Physical Description:
- vii, 152 pages : illustrations ; 26 cm.
- Place of Publication:
- Providence, RI : American Mathematical Society, [2024]
- Summary:
- We develop axiomatics of highest weight categories and quasi-hereditary algebras in order to incorporate two semi-finite situations which are in Ringel duality with each other; the underlying posets are either upper finite or lower finite. We also consider various more general sorts of stratified categories. In the upper finite cases, we give an alternative characterization of these categories in terms of based quasi-hereditary algebras and based stratified algebras, which are certain locally unital algebras possessing triangular bases.
- Contents:
- Chapter 1. Introduction
- Chapter 2. Some finiteness properties on Abelian categories
- Chapter 3. Generalizations of highest weight categories
- Chapter 4. Tilting modules and semi-infinite Ringel duality
- Chapter 5. Generalizations of quasi-hereditary algebras
- Chapter 6. Examples
- Bibliography
- Index.
- Notes:
- "January 2024, volume 293, number 1459 (third of 7 numbers)."
- Includes bibliographical references (pages 145-150) and index.
- ISBN:
- 1470467836
- 9781470467838
- OCLC:
- 1420306039
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