Results 181 to 190 of about 107,381 (262)

A group of a Lie algebra.

open access: yesJournal für die reine und angewandte Mathematik (Crelles Journal), 1970
openaire   +1 more source

Beyond Euclid: an illustrated guide to modern machine learning with geometric, topological, and algebraic structures. [PDF]

open access: yesMach Learn Sci Technol
Papillon M   +10 more
europepmc   +1 more source

Ruijsenaars wavefunctions as modular group matrix coefficients. [PDF]

open access: yesLett Math Phys
Di Francesco P   +4 more
europepmc   +1 more source

On the Converse of Pansu's Theorem. [PDF]

open access: yesArch Ration Mech Anal
De Philippis G   +4 more
europepmc   +1 more source

Quantization of Lie Groups and Lie Algebras

1988
Publisher Summary This chapter focuses on the quantization of lie groups and lie algebras. The Algebraic Bethe Ansatz—the quantum inverse scattering method—emerges as a natural development of the various directions in mathematical physics: the inverse scattering method for solving nonlinear equations of evolution, the quantum theory of magnets, the ...
L. D. Faddeev   +2 more
openaire   +3 more sources

Lie Algebras and Lie Groups

2014
The relationship between Lie algebras and Lie groups is of great importance. Let the Lie algebra be g and the corresponding Lie group G. The relation is $$\displaystyle{ \text{Lie algebra}\qquad g \ni X_{i}\mathrm{\ \ }(i = 1,\ldots,r) }$$ (4.1) $$\displaystyle{ \text{Lie group}\qquad G \ni \exp \left (\sum _{i=1}^{r}\alpha _{ i}X_{i ...
F. Iachello
openaire   +3 more sources

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