scholarly journals A Classification of Multiplicity Free Actions

1996 ◽  
Vol 181 (1) ◽  
pp. 152-186 ◽  
Author(s):  
Chal Benson ◽  
Gail Ratcliff
Keyword(s):  
Multiplicity Free ◽  
Free Actions

scholarly journals Multiplicity-Free Schubert Calculus

2010 ◽  
Vol 53 (1) ◽  
pp. 171-186 ◽  
Author(s):  
Hugh Thomas ◽  
Alexander Yong
Keyword(s):  
Algebraic Geometry ◽  
Schubert Calculus ◽  
Chow Ring ◽  
Free Products ◽  
Linear Basis ◽  
Combinatorial Classification ◽  
Schubert Classes ◽  
Multiplicity Free

AbstractMultiplicity-free algebraic geometry is the study of subvarieties Y ⊆ X with the “smallest invariants” as witnessed by a multiplicity-free Chow ring decomposition of [Y] ∈ A*(X) into a predetermined linear basis.This paper concerns the case of Richardson subvarieties of the Grassmannian in terms of the Schubert basis. We give a nonrecursive combinatorial classification of multiplicity-free Richardson varieties, i.e., we classify multiplicity-free products of Schubert classes. This answers a question of W. Fulton.

scholarly journals Classification of $Q$-Multiplicity-Free Skew Schur $Q$-Functions

10.37236/6494 ◽  
2017 ◽  
Vol 24 (2) ◽  
Author(s):  
Christopher Schure
Keyword(s):  
Multiplicity Free

We classify the $Q$-multiplicity-free skew Schur $Q$-functions. Towards this result, we also provide new relations between the shifted Littlewood-Richardson coefficients.

Inequivalent, bordant group actions on a surface

1986 ◽  
Vol 99 (2) ◽  
pp. 233-238 ◽  
Author(s):  
Charles Livingston
Keyword(s):  
Fixed Point ◽  
Finite Groups ◽  
Group Actions ◽  
Free Actions ◽  
Orientable Surfaces

An action of a group, G, on a surface, F, consists of a homomorphismø: G → Homeo (F).We will restrict our discussion to finite groups acting on closed, connected, orientable surfaces, with ø(g) orientation-preserving for all g ε G. In addition we will consider only effective (ø is injective) free actions. Free means that ø(g) is fixed-point-free for all g ε G, g ≠ 1. This paper addresses the classification of such actions.

scholarly journals Classification of free actions of finite groups on the 3-torus

2002 ◽  
Vol 121 (3) ◽  
pp. 469-507 ◽  
Author(s):  
Ku Yong Ha ◽  
Jang Hyun Jo ◽  
Seung Won Kim ◽  
Jong Bum Lee
Keyword(s):  
Finite Groups ◽  
Free Actions

Functions on quotient singularities

1987 ◽  
Vol 324 (1576) ◽  
pp. 1-45 ◽  
Keyword(s):  
Invariant Theory ◽  
Quotient Singularity ◽  
Two Dimensional ◽  
Comprehensive Review ◽  
Invariant Functions ◽  
Quotient Singularities ◽  
Free Actions

There are two main results: a determination of the modality of a generic function on any given two-dimensional quotient singularity and a listing of all the zero-modal functions. To achieve this, a comprehensive review of the invariant theory for free actions on C 2 is needed. The problem is put in context by a general discussion of classification of invariant functions, and several different extensions of the main results are indicated.

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