The Square-Zero Basis of Matrix Lie Algebras Article Swipe
Related Concepts
Mathematics
Lie conformal algebra
Basis (linear algebra)
Lie algebra
Zero (linguistics)
Pure mathematics
Invariant (physics)
Adjoint representation of a Lie algebra
Square (algebra)
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Representation of a Lie group
Algebraic number
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Raúl Durán Dı́az
,
Víctor Gayoso Martínez
,
Luis Hernández Encinas
,
J. Muñoz Masqué
·
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.3390/math8061032
· OA: W2883416220
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.3390/math8061032
· OA: W2883416220
A method is presented that allows one to compute the maximum number of functionally-independent invariant functions under the action of a linear algebraic group as long as its Lie algebra admits a basis of square-zero matrices even on a field of positive characteristic. The class of such Lie algebras is studied in the framework of the classical Lie algebras of arbitrary characteristic. Some examples and applications are also given.
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