Results 41 to 50 of about 261 (163)

Lie groups and algebras in particle physics [PDF]

open access: yes, 2017
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2017, Director: Laura Costa Farràs[en] The present document is a first introduction to the Theory of Lie Groups and Lie Algebras and their representations ...
Fraxanet Morales, Joana
core  

Finitely asymptotic properties of powers of characters of compact semisimple Lie groups.

open access: yes, 1994
This thesis has to do with decomposing tensor powers of irreducible representations of compact semisimple Lie groups or their Lie algebras. We will be concerned only with the set of irreducible representations appearing in the decomposition.
O'Brien, Ellen Marie.
core   +1 more source

Invariants of automorphic lie algebras

open access: yes
Automorphic Lie Algebras arise in the context of reduction groups introduced in the late 1970s [35] in the field of integrable systems. They are subalgebras of Lie algebras over a ring of rational functions, denied by invariance under the action of a ...
Knibbeler, Vincent
core  

Essays in the history of Lie groups and algebraic groups

open access: yes, 2001
Lie groups and algebraic groups are important in many major areas of mathematics and mathematical physics. We find them in diverse roles, notably as groups of automorphisms of geometric structures, as symmetries of differential systems, or as basic tools
Armand Borel, Borel, Armand
core   +1 more source

Lie Algebras and their Representations

open access: yes
An introduction to Lie algebras and their representations following Fulton and Harris, Representation Theory: A First Course, as covered for a reading project throughout Spring 2024. When nothing else is noted, the text follows Fulton and Harris closely,
He, Zuxian   +5 more
core   +1 more source

Compact homogeneous Leviflat CR-manifolds. [PDF]

open access: yesComplex Analysis Synerg, 2021
Al-Abdallah AR, Gilligan B.
europepmc   +1 more source

Explicit Hilbert spaces for certain unipotent representations III

open access: yes, 2003
In this paper we construct a family of small unitary representations for real semisimple Lie groups associated with Jordan algebras. These representations are realized on L2-spaces of certain orbits in the Jordan algebra.
Sahi, Siddhartha, Dvorsky, Alexander
core   +1 more source

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