Recent progress on Kostant's problem

Abstract: Let g be a semi-simple complex finite dimensional Lie algebra. Kostant's problem for a g-module L asks whether the universal enveloping algebra of g surjects onto the algebra of all locally ad(g)-finite endomorphisms of L. Although the answer to Kostant's problem is known for some special classes of modules (for example, the answer is positive for all Verma modules), no complete answer is known, for example, for simple highest weight modules. In this talk I will describe some recent progress in understanding the answer to Kostant's problem for simple highest weight modules indexed by fully commutative permutations and for some parabolic Verma modules. Based on a joint work with Marco Mackaay and Venessa Miemietz and another joint work with Shraddha Srivastava.

MathematicsPhysics

Audience: researchers in the topic

Comments: Meeting ID: 925 4420 8640 Passcode: 123089

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Representations of Lie Superalgebras and Related Topics

Series comments: ● Important Dates • Registration Opening: July 26, 2023 (Mordad 04, 1402) • Registration Deadline: August 28, 2023 (Shahrivar 06, 1402)

● Contact: Asghar Daneshvar, * Email: a[dot]daneshvar[at]ipm[dot]ir * If you have any questions or problems related to the conference or the registration form, please contact the email address above.

Plenary Speakers:

• Drazen Adamovic, University of Zagreb, Croatia

• Yuly Billig, University of Carleton, Canada

• Alberto Elduque, University of Zaragoza, Spain

• Dimitar Grantcharov, University of Texas at Arlington, United States of America

• Li Luo, East China Normal University, China

• Volodymyr Mazorchuk, Uppsala university, Sweden

• Jakob Palmkvist, Orebro University, Sweden

• Jinwei Yang, Shanghai Jiaotong University, China

• Kaiming Zhao, Wilfrid Laurier University, Canada

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