Singularities Defined by sℓ(2, C) Invariant Polynomials and Solvability of Lie Algebras Arising From Isolated Singularities

Through the triality of SO(8,C), we study three interrelated homogeneous basis of the ring of invariant polynomials of Lie algebras, which give the basis of three Hitchin fibrations, and identify the explicit automorphisms that relate them.

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Solvable Lie algebras and generalized Cartan matrices arising from isolated singularities

Mathematische Zeitschrift ◽

10.1007/bf01162338 ◽

1986 ◽

Vol 191 (4) ◽

pp. 489-506 ◽

Cited By ~ 13

Author(s):

Stephen S. -T. Yau

Keyword(s):

Lie Algebras ◽

Isolated Singularities ◽

Solvable Lie Algebras ◽

Cartan Matrices

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Invariant polynomials on Lie algebras of inhomogeneous unitary and special orthogonal groups

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1972-0304564-5 ◽

1972 ◽

Vol 170 ◽

pp. 221-221 ◽

Cited By ~ 6

Author(s):

S. J. Takiff

Keyword(s):

Lie Algebras ◽

Orthogonal Groups ◽

Invariant Polynomials

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Lie Groups, Lie Algebras, Cohomology and some Applications in Physics

10.1017/cbo9780511599897 ◽

1995 ◽

Cited By ~ 90

Author(s):

Josi A. de Azcárraga ◽

Josi M. Izquierdo

Keyword(s):

Lie Groups ◽

Lie Algebras

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Isolated Singularities in Partial Differential Inequalities

10.1017/cbo9781316481363 ◽

2016 ◽

Cited By ~ 5

Author(s):

Marius Ghergu ◽

Steven D. Taliaferro

Keyword(s):

Differential Inequalities ◽

Isolated Singularities ◽

Partial Differential

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The rigidity of some solvable Lie algebras

Uzbek Mathematical Journal ◽

10.29229/uzmj.2018-2-4 ◽

2018 ◽

Vol 2018 (2) ◽

pp. 43-49

Author(s):

R.K. Gaybullaev ◽

Kh.A. Khalkulova ◽

J.Q. Adashev

Keyword(s):

Lie Algebras ◽

Solvable Lie Algebras

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