搜索结果: 1-15 共查到“代数学 invariants”相关记录19条 . 查询时间(0.015 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The definable content of homological invariants
同调 不变量 可定义内容
2023/5/15
In this talk we will develop a framework for enriching various classical invariants of homological algebra and algebraic topology with additional descriptive set-theoretic information. The resulting "...
THE IDEAL OF RELATIONS FOR THE RING OF INVARIANTS OF n POINTS ON THE LINE:INTEGRALITY RESULTS
RELATIONS FOR THE RING INVARIANTS OF n POINTS ON THE LINE INTEGRALITY RESULTS
2015/10/14
Consider the projective coordinate ring of the GIT quotient (P1)n//SL(2), with the usual linearization, where n is even. In 1894, Kempe proved that this ring is generated in degree one. In [HMSV2]we s...
We consider the ring of invariants of n points on the projective line. The space (P
1)
n//PGL2 is
perhaps the first nontrivial example of a Geometry Invariant Theory quotient. The constructio...
The Geometric Invariants of Group Extensions
The Geometric Invariants Group Extensions Group Theory
2012/6/30
In this paper, we compute the {\Sigma}^n(G) and {\Omega}^n(G) invariants when 1 \rightarrow H \rightarrow G \rightarrow K \rightarrow 1 is a short exact sequence of finitely generated groups with K fi...
Memoir on the Sigma-invariants and their applications, Part 1.
Asymptotic invariants, complexity of groups and related problems
word problem conjugacy problem computational complexity
2011/1/19
We survey results about computational complexity of the word problem in groups, Dehn functions of groups and related problems.
Modular Invariants and Twisted Equivariant K-theory II: Dynkin diagram symmetries
Modular Invariants Twisted Equivariant K-theory Dynkin diagram symmetries
2011/1/19
The modular invariant partition functions of conformal eld theory (CFT)have a rich interpretation within von Neumann algebras (subfactors), which has led to the development of structures such as the ...
Relative Invariants, Ideal Classes and Quasi-Canonical Modules of Modular Rings of Invariants
Relative Invariants Quasi-Canonical Modules
2010/11/24
We describe "quasi canonical modules" for modular invariant rings $R$ of finite group actions on factorial Gorenstein domains. From this we derive a general "quasi Gorenstein criterion" in terms of c...
Diassociative algebras and Milnor's invariants for tangles
Diassociative algebras Milnor's invariants
2010/11/8
We extend Milnor's mu-invariants of link homotopy to ordered tangles. Simple combinatorial formulas for mu-invariants are given in terms of counting trees in Gauss diagrams. Invariance under Reidemei...
Computing invariants via slicing groupoids: Gel'fand MacPherson, Gale and positive characteristic stable maps
Computing invariants via slicing groupoids Gel'fand MacPherson
2010/11/22
We offer a groupoid-theoretic approach to computing invariants. We illustrate this approach by describing the Gel'fand-MacPherson correspondence and the Gale transform as well as giving Zariski-local...
Optimistic limits of the colored Jones invariants
Optimistic limits colored Jones invariants
2010/12/7
We show that the optimistic limits of the colored Jones invariants of the hyperbolic knots coincide with the minus of the optimistic limit of the Kashaev invariants modulo 22.
Generation of class fields by Siegel-Ramachandra invariants
class field theory；complex multiplication；modular forms
2010/12/3
Let K be an imaginary quadratic field and f be a nontrivial integral ideal of K. We show that the Siegel-Ramachandra invariant could be a primitive generator of the ray class field modulo f over K (or...
Twisted Dickson-Mui invariants and the Steinberg module multiplicity
Twisted Dickson-Mui invariants Steinberg module multiplicity
2010/11/29
We determine the invariants, with arbitrary determinant twists, of the par-abolic subgroups of the finite general linear group GLn(q) acting on the tensor product of the symmetric algebra S•(V )...
Clifford modules and invariants of quadratic forms
Clifford modules invariants of quadratic forms
2011/2/22
For any integer k > 0, the Bott class k in topological complex K-theory is well known [7], [12, pg. 259].
Higher Genus Symplectic Invariants and Sigma Model Coupled With Gravity
Symplectic Invariants Sigma Model Coupled With Gravity
2010/3/17
Higher Genus Symplectic Invariants and Sigma Model Coupled With Gravity。