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Concept

Algèbre enveloppante

Cours associés (7)

MATH-492: Representation theory of semisimple lie algebras

We will establish the major results in the representation theory of semisimple Lie algebras over the field of complex numbers, and that of the related algebraic groups. ...

MATH-667: Quivers and quantum algebras

We will survey state of the art research on quantum algebras that arise from quivers. Our guiding examples will be quantum loop groups associated to symmetric Cartan matrices, but we will also seek to understand the general theory, where many open results ...

PHYS-431: Quantum field theory I

The goal of the course is to introduce relativistic quantum field theory as the conceptual and mathematical framework describing fundamental interactions. ...

MATH-506: Topology IV.a - Cohomology rings

Singular cohomology is defined by dualizing the singular chain complex for spaces. We will study its basic properties, see how it acquires a multiplicative structure and becomes a graded commutative algebra. We study an algebraic version, namely group coho ...

PHYS-757: Axiomatic Quantum Field Theory

Presentation of Wightman's axiomatic framework to QFT as well as to the necessary mathematical objects to their understanding (Hilbert analysis, distributions, group representations,...). Proofs of the main mathematical consequences (CPT, spin-statistics ...

MATH-334: Representation theory

Study the basics of representation theory of groups and associative algebras. ...

MATH-686: Introduction to geometric representation theory

This course presents geometric constructions of irreducible representations of semi-simple Lie Algebras and their Weyl groups by means of Springer theory. ...