Affine Hecke Algebras and Quantum Symmetric Pairs - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Affine Hecke Algebras and Quantum Symmetric Pairs write by Zhaobing Fan. This book was released on 2023-01-18. Affine Hecke Algebras and Quantum Symmetric Pairs available in PDF, EPUB and Kindle. View the abstract.
Affine Flag Varieties and Quantum Symmetric Pairs
Affine Flag Varieties and Quantum Symmetric Pairs - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Affine Flag Varieties and Quantum Symmetric Pairs write by Zhaobing Fan. This book was released on 2020-09-28. Affine Flag Varieties and Quantum Symmetric Pairs available in PDF, EPUB and Kindle. The quantum groups of finite and affine type $A$ admit geometric realizations in terms of partial flag varieties of finite and affine type $A$. Recently, the quantum group associated to partial flag varieties of finite type $B/C$ is shown to be a coideal subalgebra of the quantum group of finite type $A$.
Twenty-Four Hours of Local Cohomology
Twenty-Four Hours of Local Cohomology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Twenty-Four Hours of Local Cohomology write by Srikanth B. Iyengar. This book was released on 2022-07-19. Twenty-Four Hours of Local Cohomology available in PDF, EPUB and Kindle. This book is aimed to provide an introduction to local cohomology which takes cognizance of the breadth of its interactions with other areas of mathematics. It covers topics such as the number of defining equations of algebraic sets, connectedness properties of algebraic sets, connections to sheaf cohomology and to de Rham cohomology, Gröbner bases in the commutative setting as well as for $D$-modules, the Frobenius morphism and characteristic $p$ methods, finiteness properties of local cohomology modules, semigroup rings and polyhedral geometry, and hypergeometric systems arising from semigroups. The book begins with basic notions in geometry, sheaf theory, and homological algebra leading to the definition and basic properties of local cohomology. Then it develops the theory in a number of different directions, and draws connections with topology, geometry, combinatorics, and algorithmic aspects of the subject.
Forty Years Of Algebraic Groups, Algebraic Geometry, And Representation Theory In China: In Memory Of The Centenary Year Of Xihua Cao's Birth
Forty Years Of Algebraic Groups, Algebraic Geometry, And Representation Theory In China: In Memory Of The Centenary Year Of Xihua Cao's Birth - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Forty Years Of Algebraic Groups, Algebraic Geometry, And Representation Theory In China: In Memory Of The Centenary Year Of Xihua Cao's Birth write by Jie Du. This book was released on 2022-10-21. Forty Years Of Algebraic Groups, Algebraic Geometry, And Representation Theory In China: In Memory Of The Centenary Year Of Xihua Cao's Birth available in PDF, EPUB and Kindle. Professor Xihua Cao (1920-2005) was a leading scholar at East China Normal University (ECNU) and a famous algebraist in China. His contribution to the Chinese academic circle is particularly the formation of a world-renowned 'ECNU School' in algebra, covering research areas include algebraic groups, quantum groups, algebraic geometry, Lie algebra, algebraic number theory, representation theory and other hot fields. In January 2020, in order to commemorate Professor Xihua Cao's centenary birthday, East China Normal University held a three-day academic conference. Scholars at home and abroad gave dedications or delivered lectures in the conference. This volume originates from the memorial conference, collecting the dedications of scholars, reminiscences of family members, and 16 academic articles written based on the lectures in the conference, covering a wide range of research hot topics in algebra. The book shows not only scholars' respect and memory for Professor Xihua Cao, but also the research achievements of Chinese scholars at home and abroad.
Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification
Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification write by Jacob Greenstein. This book was released on 2022-03-11. Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification available in PDF, EPUB and Kindle. This volume collects chapters that examine representation theory as connected with affine Lie algebras and their quantum analogues, in celebration of the impact Vyjayanthi Chari has had on this area. The opening chapters are based on mini-courses given at the conference “Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification”, held on the occasion of Chari’s 60th birthday at the Catholic University of America in Washington D.C., June 2018. The chapters that follow present a broad view of the area, featuring surveys, original research, and an overview of Vyjayanthi Chari’s significant contributions. Written by distinguished experts in representation theory, a range of topics are covered, including: String diagrams and categorification Quantum affine algebras and cluster algebras Steinberg groups for Jordan pairs Dynamical quantum determinants and Pfaffians Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification will be an ideal resource for researchers in the fields of representation theory and mathematical physics.
