1
Faculty of Science, Department of Mathematics, Idlib University, Syria.
(ntaffash77@windowslive.com)
Abstract :
The problem of the existence and construction of a resolution of singularities is one of the central questions of algebraic geometry. In this paper, we study this problem in connecting with the quotients for . It is known that the action of on its Lie algebra is corresponding to the action of on . As a result of this action, it will be an invariant ring, which determines the quotients for . This paper is devoted to studying the singularity of these quotients. We write this singularity as a matrix with interesting features such as, for example, its quadratic is a zero matrix and its rank is less than or equal to 1. Therefore, in this paper, we reduce the studying of the singularity of the quotients of , which is a hard problem, to the studying of a matrix of invariants which is an easy problem.
Keywords :
Singularities; Lie algebra; Lie groups; symplectic doubling; quotients
References :
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| Style | # |
|---|---|
| MLA | Nader Taffach. "A Representation of the Generators of the Quotients Group of Sl_2 By Matrices with Special Properties." Galoitica: Journal of Mathematical Structures and Applications, Vol. 4, No. 2, 2023 ,PP. 24-30 (Doi : https://doi.org/10.54216/GJMSA.040202) |
| APA | Nader Taffach. (2023). A Representation of the Generators of the Quotients Group of Sl_2 By Matrices with Special Properties. Journal of Galoitica: Journal of Mathematical Structures and Applications, 4 ( 2 ), 24-30 (Doi : https://doi.org/10.54216/GJMSA.040202) |
| Chicago | Nader Taffach. "A Representation of the Generators of the Quotients Group of Sl_2 By Matrices with Special Properties." Journal of Galoitica: Journal of Mathematical Structures and Applications, 4 no. 2 (2023): 24-30 (Doi : https://doi.org/10.54216/GJMSA.040202) |
| Harvard | Nader Taffach. (2023). A Representation of the Generators of the Quotients Group of Sl_2 By Matrices with Special Properties. Journal of Galoitica: Journal of Mathematical Structures and Applications, 4 ( 2 ), 24-30 (Doi : https://doi.org/10.54216/GJMSA.040202) |
| Vancouver | Nader Taffach. A Representation of the Generators of the Quotients Group of Sl_2 By Matrices with Special Properties. Journal of Galoitica: Journal of Mathematical Structures and Applications, (2023); 4 ( 2 ): 24-30 (Doi : https://doi.org/10.54216/GJMSA.040202) |
| IEEE | Nader Taffach, A Representation of the Generators of the Quotients Group of Sl_2 By Matrices with Special Properties, Journal of Galoitica: Journal of Mathematical Structures and Applications, Vol. 4 , No. 2 , (2023) : 24-30 (Doi : https://doi.org/10.54216/GJMSA.040202) |