t-Unique reductions for Mészáros’s subdivision algebra
作者： Darij Grinberg ,
关键词: Homomorphism 、 Commutative ring 、 Physics 、 Monomial 、 Conjecture 、 Polynomial ring 、 Quotient algebra 、 Noncommutative ring 、 Algebra
摘要: Fix a commutative ring $\mathbf{k}$, two elements $\beta,\alpha\in\mathbf{k}$ and positive integer $n$. Let $\mathcal{X}$ be the polynomial over $\mathbf{k}$ in $n(n-1)/2$ indeterminates $x_{i,j}$ for all $1\leq i
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sci-hub.st 参考文章(17)
John Little, David A. Cox, Donal O'Shea, Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra ,(1992)
Anatol N. Kirillov, , On Some Quadratic Algebras I 1/2: Combinatorics of Dunkl and Gaudin Elements, Schubert, Grothendieck, Fuss-Catalan, Universal Tutte and Reduced Polynomials Symmetry Integrability and Geometry-methods and Applications. ,vol. 12, pp. 002- ,(2016) , 10.3842/SIGMA.2016.002
Karola Mészáros, Laura Escobar, Subword complexes via triangulations of root polytopes arXiv: Combinatorics. ,(2015)
Nicholas Proudfoot, Michael McBreen, Intersection cohomology and quantum cohomology of conical symplectic resolutions arXiv: Algebraic Geometry. ,(2015)
Heinz Kredel, Volker Weispfenning, Thomas Becker, Gröbner Bases: A Computational Approach to Commutative Algebra ,(2011)
Daniel Moseley, Equivariant cohomology and the Varchenko-Gelfand filtration arXiv: Combinatorics. ,(2011)
ANATOL N. KIRILLOV, ON SOME ALGEBRAIC AND COMBINATORIAL PROPERTIES OF DUNKL ELEMENTS International Journal of Modern Physics B. ,vol. 26, pp. 1243012- ,(2012) , 10.1142/S0217979212430126
Raul Cordovil, Gwihen Etienne, A Note on the Orlik—Solomon Algebra The Journal of Combinatorics. ,vol. 22, pp. 165- 170 ,(2001) , 10.1006/EUJC.2000.0445
Hiroaki Terao, Algebras Generated by Reciprocals of Linear Forms Journal of Algebra. ,vol. 250, pp. 549- 558 ,(2002) , 10.1006/JABR.2001.9121
Karola Mészáros, Root polytopes, triangulations, and the subdivision algebra. I Transactions of the American Mathematical Society. ,vol. 363, pp. 4359- 4382 ,(2011) , 10.1090/S0002-9947-2011-05371-7