戻る / Previous page

  • New Books

Series : Memoirs of the American Mathematical Society

Knot Invariants and Higher Representation Theory

Knot Invariants and Higher Representation Theory
Author
Webster, Ben 
Publisher
AMS 
Publication Date
Oct, 2017 
ISBN
1470426501 or 9781470426507
PAPERBACK 
133 Pages
出版済み 3-5週間でお届けいたします。
The delivery time takes 3 to 5 weeks

¥ 10,499 (tax included)

Description

The author constructs knot invariants categorifying the quantum knot variants for all representations of quantum groups. He shows that these invariants coincide with previous invariants defined by Khovanov for sl2sl2 and sl3sl3 and by Mazorchuk-Stroppel and Sussan for slnsln.

The author's technique is to study 2-representations of 2-quantum groups (in the sense of Rouquier and Khovanov-Lauda) categorifying tensor products of irreducible representations. These are the representation categories of certain finite dimensional algebras with an explicit diagrammatic presentation, generalizing the cyclotomic quotient of the KLR algebra. When the Lie algebra under consideration is slnsln, the author shows that these categories agree with certain subcategories of parabolic category OO for glkglk.

Contents

Introduction
Categorification of quantum groups
Cyclotomic quotients
The tensor product algebras
Standard modules
Braiding functors
Rigidity structures
Knot invariants
Comparison to category $ mathcal{O}$ and other knot homologies
Bibliography

送料無料にてお届け

ご注文商品は海外からのお取り寄せのため,納期は3~5週間程頂きます。入荷の遅延,出版延期など納期に遅れが見込まれる場合はメールにてお知らせ致します

公費/校費/社費でのお支払い

ご注文の際,お支払方法を選択して頂く画面が表示されますので,「公費/校費/社費」をお選び頂き必要書類をご指定下さい。公費/校費/社費の場合でも、HP掲載価格で承ります。

書籍が見つからない場合

お問い合わせメールより書籍のタイトルや ISBNなど、お手持ちの情報をお知らせ下さい。お見積り、ご注文を承ります。

SSL グローバルサインのサイトシール