Course Identification

Title:

Topics in Lie Algebra and Superalgebras

Code:

20254271

Lecturers and Teaching Assistants

Lecturers:

Prof. Maria Gorelik

TA's:

N/A

Course Schedule and Location

Year:

2025

Semester:

First Semester

When / Where:

Monday, 14:15 - 16:15, Goldsmith, Rm 108

First Lecture:

05/11/2024

End date:

27/01/2025

Field of Study, Course Type and Credit Points

Mathematics and Computer Science: 2.00 points

Comments

N/A

Prerequisites

An introductory course on Lie Algebras

Restrictions

Participants:

20

Language of Instruction

English

Attendance and participation

Expected and Recommended

Grade Type

Pass / Fail

Grade Breakdown (in %)

Seminar:

80%

Final:

20%

Evaluation Type

Other

Scheduled date 1

Date / due date

N/A

Location

N/A

Time

-

Remarks

N/A

Estimated Weekly Independent Workload (in hours)

4

Syllabus

Kac-Moody algebras and their classification

Category O

Blocks in category O

Shapovalov forms

The centre of the universal enveloping algebra

Kac-Moody superalgebras and their classification

Atypicality

Category O

Blocks in category O

The centre of the universal enveloping superalgebra

Learning Outcomes

Upon successful completion of this course students should be able to understand the basic structure of Kac-Moody superalgebras.

Reading List

V. G. Kac "Infinite-dimensional Lie algebras", "Lie superalgebras" (Adv. in Math.), J. Humphreys "Representation of semisimple Lie algebras in BGG category O"

Website

N/A