Found 67 Documents (Results 1–67)
Standard monomials and invariant theory for arc spaces. I: General linear group. (English) Zbl 07838054
Seshadri stratifications and Schubert varieties: a geometric construction of a standard monomial theory. (English) Zbl 07826257
LS algebras, valuations, and Schubert varieties. (English) Zbl 1524.14104
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 33, No. 4, 925-957 (2022).
Reviewer: Richárd Rimányi (Chapel Hill)
Seshadri stratification for Schubert varieties and standard monomial theory. (English) Zbl 1506.14105
Reviewer: Felipe Zaldívar (Ciudad de México)
Standard pairs of monomial ideals over nonnormal affine semigroups in SageMath. (English) Zbl 1485.13053
Standard monomial theory and toric degenerations of Richardson varieties in the Grassmannian. (English) Zbl 1481.14076
Reviewer: Anargyros Katsabekis (Ankara)
Equivariant \(K\)-theory of semi-infinite flag manifolds and the Pieri-Chevalley formula. (English) Zbl 1475.17024
Reviewer: Huafeng Zhang (Villeneuve d’Ascq)
Projective normality of torus quotients of flag varieties. (English) Zbl 1443.14049
Reviewer: José Martínez-Bernal (Ciudad de México)
Tensor product decomposition theorem for quantum Lakshmibai-Seshadri paths and standard monomial theory for semi-infinite Lakshmibai-Seshadri paths. (English) Zbl 1471.17021
Flag varieties. An interplay of geometry, combinatorics, and representation theory. 2nd edition. (English) Zbl 1416.14001
Texts and Readings in Mathematics 53. Singapore: Springer; New Delhi: Hindustan Book Agency (ISBN 978-93-86279-70-5/hbk; 978-981-13-1393-6/ebook). xv, 312 p. (2018).
Standard monomial theory for harmonics in classical invariant theory. (English) Zbl 1405.20037
Cogdell, Jim (ed.) et al., Representation theory, number theory, and invariant theory. In honor of Roger Howe on the occasion of his 70th birthday, Yale University, New Haven, CT, USA, June 1–5, 2015. Cham: Birkhäuser/Springer (ISBN 978-3-319-59727-0/hbk; 978-3-319-59728-7/ebook). Progress in Mathematics 323, 265-302 (2017).
From standard monomial theory to semi-toric degenerations via Newton-Okounkov bodies. (English) Zbl 1397.14065
Trans. Mosc. Math. Soc. 2017, 275-297 (2017) and Tr. Mosk. Mat. O.-va 78, No. 2, 331-356 (2017).
Accessible proof of standard monomial basis for coordinatization of Schubert sets of flags. (English) Zbl 1382.14020
Sign Hibi cones and the anti-row iterated Pieri algebras for the general linear groups. (English) Zbl 1301.06036
Pfaffians and shuffling relations for the spin module. (English) Zbl 1277.14037
Reviewer: Andrew Kustin (Columbia)
Standard monomial theory for desingularized Richardson varieties in the flag variety \(\mathrm{GL}(n)/B\). (English) Zbl 1296.14036
Reviewer: Benjamin Schmidt (Columbus)
Collected papers of C. S. Seshadri. Volume 1: Vector bundles and invariant theory. Volume 2: Schubert geometry and representation theory. Edited by Vikraman Balaji, V. Lakshmibai, M. Pavaman Murthy and Madhav V. Nori. (English, French) Zbl 1244.14001
New Delhi: Hindustan Book Agency; Providence, RI: American Mathematical Society (AMS)/distrib. (ISBN 978-93-80250-17-5/hbk). xxiv, 1008 p./v.1; xxiv, 633 p. (2012).
Reviewer: Werner Kleinert (Berlin)
Some combinatorial applications of Gröbner bases. (English) Zbl 1307.05236
Winkler, Franz (ed.), Algebraic informatics. 4th international conference, CAI 2011, Linz, Austria, June 21–24, 2011. Proceedings. Berlin: Springer (ISBN 978-3-642-21492-9/pbk). Lecture Notes in Computer Science 6742, 65-83 (2011).
Some more exceptional numerology. (English. Russian original) Zbl 1215.20043
J. Math. Sci., New York 171, No. 3, 317-321 (2010); translation from Zap. Nauchn. Semin. POMI 375, 22-31 (2010).
Numerology of quadratic equations. (English. Russian original) Zbl 1206.20050
St. Petersbg. Math. J. 20, No. 5, 687-707 (2009); translation from Algebra Anal. 20, No. 5, 9-40 (2008).
An upper bound on separable index of certain \(\text{SL}(3)\)-modules. (English) Zbl 1181.20041
Reviewer: Ye Jiachen (Shanghai)
Flag varieties. An interplay of geometry, combinatorics, and representation theory. (English) Zbl 1166.14001
Texts and Readings in Mathematics 53. New Delhi: Hindustan Book Agency (ISBN 978-81-85931-92-0/hbk; 978-93-86279-41-5/ebook). xiv, 272 p. (2009).
Reviewer: Christopher P. Bendel (Menomonie)
Equations defining symmetric varieties and affine Grassmannians. (English) Zbl 1162.14036
Reviewer: Christopher P. Bendel (Menomonie)
Hilbert functions of points on Schubert varieties in the symplectic Grassmannian. (English) Zbl 1111.14046
Reviewer: Ivan V. Arzhantsev (Moskva)
Standard monomials for partitions. (English) Zbl 1164.05464
Reviewer: Cornel Baetica (Bucuresti)
On representations of special orthogonal groups over fields of positive characteristics. (English) Zbl 1054.20027
Lakshmibai, V. (ed.) et al., A tribute to C. S. Seshadri. A collection of articles on geometry and representation theory. Basel: Birkhäuser (ISBN 3-7643-0444-8/hbk). Trends in Mathematics, 474-499 (2003).
Reviewer: Wilberd van der Kallen (Utrecht)
MSC:
20G05
Seshadri’s work on flag & Schubert varieties. (English) Zbl 1052.14511
Lakshmibai, V. (ed.) et al., A tribute to C. S. Seshadri. A collection of articles on geometry and representation theory. Basel: Birkhäuser (ISBN 3-7643-0444-8/hbk). Trends in Mathematics, 34-41 (2003).
Hilbert functions of points on Schubert varieties in Grassmannians. (English) Zbl 1083.14056
Reviewer: Dan Laksov (Stockholm)
Subalgebra bases and recognizable properties. (English) Zbl 1017.16042
Reviewer: Eduardo Marcos (São Paulo)
Degeneration of Schubert varieties of \(\mathrm{SL}_n/B\) to toric varieties. (English) Zbl 1017.14019
Reviewer: V. Lakshmibai (Boston)
Straightening law and powers of determinantal ideals of Hankel matrices. (English) Zbl 0940.13018
Reviewer: W.Bruns (Osnabrück)
The path model, the quantum Frobenius map and standard monomial theory. (English) Zbl 0938.14031
Carter, R. W. (ed.) et al., Algebraic groups and their representations. Proceedings of the NATO Advanced Study Institute on modular representations and subgroup structure of algebraic groups and related finite groups, Cambridge, UK, June 23-July 4, 1997. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 517, 175-212 (1998).
Reviewer: V.Lakshmibai (Boston)
Canonical bases and standard monomials. (English) Zbl 0904.17016
Reviewer: R.J.Marsh (Glasgow)
MSC:
17B37
Contracting modules and standard monomial theory for symmetrizable Kac-Moody algebras. (English) Zbl 0915.20022
Reviewer: V.Lakshmibai (Boston)
A plactic algebra for semisimple Lie algebras. (English) Zbl 0892.17009
Reviewer: Robert Marsh (Glasgow)
Gröbner bases and standard monomial bases. (English. Abridged French version) Zbl 0866.13011
Reviewer: A.Logar (Trieste)
The work of P. Littelmann and standard monomial theory. (English) Zbl 0915.17005
Adhikari, S. D. (ed.), Current trends in mathematics and physics. A tribute to Harish-Chandra. New Delhi: Narosa Publishing House. 178-197 (1995).
Reviewer: Robert Marsh (Glasgow)
Classification themes in algebraic geometry and algebraic groups. (English) Zbl 0845.14001
Reviewer: F.Pauer (Innsbruck)
Applications of standard monomial theory. (English) Zbl 0784.14019
Ramanan, S. (ed.), Proceedings of the Hyderabad conference on algebraic groups held at the School of Mathematics and Computer/Information Sciences of the University of Hyderabad, India, December 1989. Madras: Manoj Prakashan. 381-406 (1991).
Standard monomial theory. (English) Zbl 0785.14028
Ramanan, S. (ed.), Proceedings of the Hyderabad conference on algebraic groups held at the School of Mathematics and Computer/Information Sciences of the University of Hyderabad, India, December 1989. Madras: Manoj Prakashan. 279-322 (1991).
Multivariate polynomials, standard tableaux, and representations of symmetric groups. (English) Zbl 0733.20005
Reviewer: G.Molenberghs (Antwerpen)
Standard monomial theoretic proof of PRV conjecture. (English) Zbl 0721.20029
Reviewer: V.Lakshmibai (Boston)
MSC:
20G05
Multiplicities of points on a Schubert variety in a minuscule G/P. (English) Zbl 0729.14037
Reviewer: H.H.Andersen (Aarhus)
Geometry of \(G/P\). IX: The group \(SO(2n)\) and the involution \(\sigma\). (English) Zbl 0698.14058
Reviewer: H.H.Andersen
Schubert varieties and standard monomial theory. (English) Zbl 0758.14034
Topics in algebra. Part 2: Commutative rings and algebraic groups, Pap. 31st Semester Class. Algebraic Struct., Warsaw/Poland 1988, Banach Cent. Publ. 26, Part 2, 365-378 (1990).
Reviewer: V.Lakshmibai (Boston)
Standard monomial theory for \(\widehat {SL}_ 2\). (English) Zbl 0759.22022
Infinite dimensional Lie algebras and groups, Proc. Conf., Marseille/Fr. 1988, Adv. Ser. Math. Phys. 7, 178-234 (1989).
On recognisable properties of associative algebras. (English) Zbl 0663.68045
Reviewer: Geert Molenberghs
Singular loci of Schubert varieties for classical groups. (English) Zbl 0635.14022
Reviewer: D.Laksov
Geometry of G/P. VI: Bases for fundamental represenations of classical groups. Geometry of G/P. VII: The symplectic group and the involution \(\sigma\) . Geometry of G/P. VIII: The group \(SO(2n+1)\) and the involution \(\sigma\). (English) Zbl 0618.14027
Reviewer: H.H.Andersen
Geometry of G/P. V. (English) Zbl 0618.14026
Standard bases of perfect homogeneous polynomial ideals of height 2. (English) Zbl 0609.13001
Reviewer: Avinash Sathaye (Lexington)
Standard monomial theory and the work of Demazure. (English) Zbl 0569.14024
Algebraic varieties and analytic varieties, Proc. Symp., Tokyo 1981, Adv. Stud. Pure Math. 1, 355-384 (1983).
Reviewer: D.Laksov
Arithmetic Cohen-Macaulayness and arithmetic normality for Schubert varieties. (English) Zbl 0475.14045
Standard monomial theory. (English) Zbl 0475.14044
Séminaire d’algèbre Paul Dubreil et Marie-Paule Malliavin, 33ème Année, Proc., Paris 1980, Lect. Notes Math. 867, 441-476 (1981).
Geometry of G/P. (English) Zbl 0466.14020
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