Standard monomials and invariant theory for arc spaces I: General linear group

被引：3

作者：

Linshaw, Andrew R. ^{[1
]}

Song, Bailin ^{[2
]}

机构：

[1] Univ Denver, Dept Math, CM Knudson Hall,2390 S York St, Denver, CO 80210 USA

[2] Univ Sci & Technol China, Sch Math Sci, 96 Jinzhai Rd, Hefei 230026, Anhui, Peoples R China

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2024年 / 26卷 / 04期

关键词：

Standard monomial; invariant theory; arc space; JET SCHEMES; G-P; GEOMETRY;

D O I：

10.1142/S021919972350013X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This is the first in a series of papers on standard monomial theory and invariant theory of arc spaces. For any algebraically closed field K, we construct a standard monomial basis for the arc space of the determinantal variety over K. As an application, we prove the arc space analogue of the first and second fundamental theorems of invariant theory for the general linear group.

引用

页数：38

共 50 条

[31] Weighted Hardy spaces: shift invariant and coinvariant subspaces, linear systems and operator model theory
Ball, Joseph A.
Bolotnikov, Vladimir k
ACTA SCIENTIARUM MATHEMATICARUM, 2013, 79 (3-4): : 623 - 686
[32] Weighted Hardy spaces: shift invariant and coinvariant subspaces, linear systems and operator model theory
Joseph A. Ball
Vladimir Bolotnikov
Acta Scientiarum Mathematicarum, 2013, 79 (3-4): : 623 - 686
[33] The first fundamental theorem of coinvariant theory for the quantum general linear group
Goodearl, KR
Lenagan, TH
Rigal, L
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2000, 36 (02) : 269 - 296
[34] CHARACTERISTIC-FREE REPRESENTATION-THEORY OF THE GENERAL LINEAR GROUP
AKIN, K
BUCHSBAUM, DA
ADVANCES IN MATHEMATICS, 1985, 58 (02) : 149 - 200
[35] Manifestly gauge-invariant general relativistic perturbation theory: I. Foundations
Giesel, K.
Hofmann, S.
Thiemann, T.
Winkler, O.
CLASSICAL AND QUANTUM GRAVITY, 2010, 27 (05)
[36] Lp-theory of semi-linear SPDEs on general measure spaces and applications
Zhang, Xicheng
JOURNAL OF FUNCTIONAL ANALYSIS, 2006, 239 (01) : 44 - 75
[37] CORRECTIONS TO: "ON THE EQUIVARIANT K-THEORY OF THE NILPOTENT CONE IN THE GENERAL LINEAR GROUP"
Achar, Pramod N.
REPRESENTATION THEORY, 2016, 20 : 414 - 418
[38] Exact formulas for the general solution of a class of standard ordinary linear differential equations: I
Barskii, IL
DIFFERENTIAL EQUATIONS, 2002, 38 (01) : 1 - 9
[39] Exact Formulas for the General Solution of a Class of Standard Ordinary Linear Differential Equations: I
I. L. Barskii
Differential Equations, 2002, 38 : 1 - 9
[40] ORDER-CONTINUOUS OPERATORS ON LP-SPACES .I. GENERAL THEORY
OLSON, MP
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1968, 133 (02) : 477 - +

← 1 2 3 4 5 →