Categorification and higher representation theory
著者
書誌事項
Categorification and higher representation theory
(Contemporary mathematics, 683)
American Mathematical Society, c2017
- タイトル別名
-
Categorification
大学図書館所蔵 全32件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes bibliographical references
内容説明・目次
内容説明
The emergent mathematical philosophy of categorification is reshaping our view of modern mathematics by uncovering a hidden layer of structure in mathematics, revealing richer and more robust structures capable of describing more complex phenomena. Categorified representation theory, or higher representation theory, aims to understand a new level of structure present in representation theory. Rather than studying actions of algebras on vector spaces where algebra elements act by linear endomorphisms of the vector space, higher representation theory describes the structure present when algebras act on categories, with algebra elements acting by functors. The new level of structure in higher representation theory arises by studying the natural transformations between functors. This enhanced perspective brings into play a powerful new set of tools that deepens our understanding of traditional representation theory.
This volume exhibits some of the current trends in higher representation theory and the diverse techniques that are being employed in this field with the aim of showcasing the many applications of higher representation theory.
The companion volume (Contemporary Mathematics, Volume 684) is devoted to categorification in geometry, topology, and physics.
目次
I. Losev, Rational Cherednik algebras and categorification
O. Dudas, M. Varagnolo, and E. Vasserot, Categorical actions on unipotent representations of finite classical groups
J. Brundan and N. Davidson, Categorical actions and crystals
A. M. Licata, On the 2-linearity of the free group
M. Ehrig, C. Stroppel, and D. Tubbenhauer, The Blanchet-Khovanov algebras
G. Lusztig, Generic character sheaves on groups over $k[\epsilon]/(\epsilon^r)$
D. Berdeja Suarez, Integral presentations of quantum lattice Heisenberg algebras
Y. Qi and J. Sussan, Categorification at prime roots of unity and hopfological finiteness
B. Elias, Folding with Soergel bimodules
L. T. Jensen and G. Williamson, The $p$-canonical basis for Hecke algebras.
「Nielsen BookData」 より