MATH 7316 — Lie Algebras

4 semester hoursGraduateLecturetypical days: T/ThBostonTraditional

Introduces notions of solvable and nilpotent Lie algebras. Covers semisimple Lie algebras: Killing form criterion, Cartan decomposition, root systems, Weyl groups, Dynkin diagrams, and weights. Discusses universal enveloping algebra, PBW theorem, representations of semisimple Lie algebras, weight spaces, highest weight modules, multiplicities, characters, and the Weyl character formula.

Prerequisites

all of:
- MATH 5111 (min C-)
- MATH 5112 (min C-) (may be taken concurrently)

Offering history

Term	Sections	Enrolled	Capacity	Full	Open seats/section
Spring 2025	1	16	21	76%	5.0

Snapshots from scheduled scrapes — not live seat availability. "Full" can exceed 100% when sections over-enroll.

Meeting times

Share of recent sections by weekday: M 0% · T 100% · W 0% · Th 100% · F 0%

Common patterns: TR (100% of sections) — in patterns, R means Thursday

Professors

Spring

Iva Halacheva (100% of students) · reviews

Percentages are each professor's average share of the season's enrolled students in recent terms.

Links

Official catalog (MATH course descriptions) · Student reviews on RateMyHusky · All MATH courses · Plan it at numap.app