Found 75 Documents (Results 1–75)
Unitary representations of cyclotomic Hecke algebras at roots of unity: combinatorial classification and BGG resolutions. (English) Zbl 1535.20025
Reviewer: Enrico Jabara (Venezia)
Faithful actions of automorphism groups of free groups on algebraic varieties. (English) Zbl 1531.14058
Reviewer: Alexander Ivanovich Budkin (Barnaul)
Braid group action and quasi-split affine \(\imath\)quantum groups. I. (English) Zbl 1542.17031
MSC:
17B37
Deformed Cartan matrices and generalized preprojective algebras. II: General type. (English) Zbl 1533.16024
Reviewer: Mee Seong Im (Annapolis)
Relative braid group symmetries on \(\imath\)quantum groups of Kac-Moody type. (English) Zbl 1535.17019
Embeddings of automorphism groups of free groups into automorphism groups of affine algebraic varieties. (English. Russian original) Zbl 1516.20063
Proc. Steklov Inst. Math. 320, 267-277 (2023); translation from Tr. Mat. Inst. Steklova 320, 287-297 (2023).
Reviewer: Enrico Jabara (Venezia)
The \(K(\pi,1)\) conjecture for affine Artin groups. (La conjecture du \(K(\pi,1)\) pour les groupes d’Artin affines.) (French. English summary) Zbl 1521.20074
Séminaire Bourbaki. Volume 2021/2022. Exposés 1181–1196. Paris: Société Mathématique de France (SMF). Astérisque 438, 495-546, Exp. No. 1195 (2022).
Universal K-matrices for quantum Kac-Moody algebras. (English) Zbl 1522.17017
Reviewer: Sonia Natale (Córdoba)
Braid group actions on matrix factorizations. (English) Zbl 1460.14103
Akbulut, Selman (ed.) et al., Proceedings of the 25th and 26th Gökova geometry-topology conferences, 2018/2019, Gökova Bay, Turkey, May/June 2018 and May/June 2019. Dedicated to the memory of Sir Michael Atiyah. Somerville, MA: International Press; Gökova: Gökova Geometry-Topology Conferences (GGT). 201-222 (2021).
Double affine Hecke algebras and congruence groups. (English) Zbl 1490.20001
Memoirs of the American Mathematical Society 1305. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4326-9/pbk; 978-1-4704-6341-0/ebook). xi, 90 p. (2020).
Reviewer: Stéphane Gaussent (Saint-Étienne)
On cacti and crystals. (English) Zbl 1465.17015
Gorelik, Maria (ed.) et al., Representations and nilpotent orbits of Lie algebraic systems. In honour of the 75th birthday of Tony Joseph. Based on the 2017 conferences “Algebraic Modes of Representations”, Weizmann Institute of Science, Rehovot, Israel, July 16–18, 2017 and University of Haifa, Haifa, Israel, July 19–13, 2017. Cham: Birkhäuser. Prog. Math. 330, 19-72 (2019).
Reviewer: Hideya Watanabe (Kyoto)
Towers of solutions of qKZ equations and their applications to loop models. (English) Zbl 1442.81033
Reviewer: Uwe Franz (Besançon)
Braid group action on affine Yangian. (English) Zbl 1481.17012
Reviewer: Huafeng Zhang (Villeneuve d’Ascq)
Tower of fully commutative elements of type \(\widetilde A\) and applications. (English) Zbl 1350.20029
The braid group of a necklace. (English) Zbl 1398.20046
DAHA-Jones polynomials of torus knots. (English) Zbl 1360.14076
Reviewer: Volodymyr Mazorchuk (Uppsala)
Markov trace on a tower of affine Temperley-Lieb algebras of type \(\tilde{A}\). (English) Zbl 1335.57016
Reviewer: Ioannis Diamantis (Beijing)
Fundamentals of Hopf algebras. (English) Zbl 1341.16034
Universitext. Cham: Springer (ISBN 978-3-319-18990-1/pbk; 978-3-319-18991-8/ebook). xiv, 150 p. (2015).
Reviewer: Jörg Feldvoss (Mobile)
Coherent sheaves on quiver varieties and categorification. (English) Zbl 1284.14016
Reviewer: Alfonso Zamora (Lisboa)
Monodromy of partial KZ functors for rational Cherednik algebras. (English) Zbl 1302.20008
Iohara, Kenji (ed.) et al., Symmetries, integrable systems and representations. Proceedings of the conference on infinite analysis: frontier of integrability, Tokyo, Japan, July 25–29, 2011 and the conference on symmetries, integrable systems and representations, Lyon, France, December 13–16, 2011. London: Springer (ISBN 978-1-4471-4862-3/hbk; 978-1-4471-4863-0/ebook). Springer Proceedings in Mathematics & Statistics 40, 133-154 (2013).
Reviewer: Gwyn Bellamy (Glasgow)
A Garside presentation for Artin-Tits groups of type \(\widetilde C_n\). (English. French summary) Zbl 1260.20056
Mirror symmetry, Hitchin’s equations, and Langlands duality. (English) Zbl 1298.81151
García-Prada, Oscar (ed.) et al., The many facets of geometry. A tribute to Nigel Hitchin. Oxford: Oxford University Press (ISBN 978-0-19-953492-0/hbk). 113-128 (2010).
Reviewer: Hirokazu Nishimura (Tsukuba)
The \(K(\pi,1)\) problem for the affine Artin group of type \(\widetilde B_n\) and its cohomology. (English) Zbl 1190.20042
Reviewer: Luisa Paoluzzi (Marseille)
Cohomology of finite and affine type Artin groups over Abelian representations. (English) Zbl 1226.20044
Tesi. Scuola Normale Superiore di Pisa (Nuova Serie) 13. Pisa: Edizioni della Normale (Diss. 2007) (ISBN 978-88-7642-345-1/pbk). xix, 137 p. (2009).
Reviewer: Simona Settepanella (Pisa)
Cyclotomic Birman-Wenzl-Murakami algebras. I: Freeness and realization as tangle algebras. (English) Zbl 1201.57008
Reviewer: Ruth Lawrence (Jerusalem)
Quantum \(D\)-modules, elliptic braid groups, and double affine Hecke algebras. (English) Zbl 1185.17013
Reviewer: Hu Jun (Beijing)
Gauge theory, ramification, and the geometric Langlands program. (English) Zbl 1237.14024
Jerison, David (ed.) et al., Current developments in mathematics, 2006. Somerville, MA: International Press (ISBN 978-1-57146-167-4/hbk). 35-180 (2008).
Reviewer: Sergiy Koshkin (Houston)
Cohomology of Artin groups of type \(\widetilde A_n\), \(B_n\) and applications. (English) Zbl 1143.20031
Iwase, Norio (ed.) et al., Proceedings of the conference on groups, homotopy and configuration spaces, University of Tokyo, Japan, July 5–11, 2005 in honor of the 60th birthday of Fred Cohen. Coventry: Geometry & Topology Publications. Geometry and Topology Monographs 13, 85-104 (2008).
Affine braids, Markov traces and the category \(\mathcal O\). (English) Zbl 1172.17009
Mehta, V. B. (ed.), Algebraic groups and homogeneous spaces. Proceedings of the international colloquium, Mumbai, India, January 6–14, 2004. New Delhi: Narosa Publishing House/Published for the Tata Institute of Fundamental Research (ISBN 978-81-7319-802-1/hbk). Studies in Mathematics. Tata Institute of Fundamental Research 19, 423-473 (2007).
Reviewer: Hu Jun (Beijing)
Reflection groups. (English) Zbl 1210.20038
Hazewinkel, M. (ed.), Handbook of algebra. Volume 4. Amsterdam: Elsevier/North-Holland (ISBN 978-0-444-52213-9/hbk). Handbook of Algebra 4, 337-383 (2006).
Reviewer: Florin Nicolae (Berlin)
Conjugacy problem for subgroups with applications to Artin groups and braid type group. (English) Zbl 1109.20028
Characters of fundamental representations of quantum affine algebras. (English) Zbl 1101.17016
Reviewer: Volodymyr Mazorchuk (Uppsala)
New deformations of group algebras of Coxeter groups. (English) Zbl 1099.20019
Reviewer: Chen Chengdong (Shanghai)
Affine Hecke algebras and orthogonal polynomials. (English) Zbl 1024.33001
Cambridge Tracts in Mathematics. 157. Cambridge: Cambridge University Press. x, 175 p. (2003).
Reviewer: Marcel G.de Bruin (Delft)
On tensor categories of Lie type \(E_{N}, N\neq 9\). (English) Zbl 1038.17009
Reviewer: Robert Marsh (Leicester)
Cohomology rings of spaces of generic bipolynomials and extended affine Weyl groups of \(A\) series. (English) Zbl 1030.55012
Reviewer: Kohhei Yamaguchi (Tokyo)
Quantum affine (super)algebras \(U_ q(A_ 1^{(1)})\) and \(U_ q(C(2)^{(2)})\). (English) Zbl 1058.17008
Reviewer: Volodymyr Mazorchuk (Uppsala)
Braid groups as self-equivalences of derived categories. (English) Zbl 0996.18008
Roggenkamp, Klaus W. (ed.) et al., Algebra - representation theory. Proceedings of the NATO Advanced Study Institute, Constanta, Romania, August 2-12, 2000. Dordrecht: Kluwer Academic Publishers. NATO Sci. Ser. II, Math. Phys. Chem. 28, 419-438 (2001).
MSC:
18E30
14F05
The \(R\)-matrix for (twisted) affine quantum algebras. (English) Zbl 1007.17012
Wang, Jianpan (ed.) et al., Representations and quantizations. Proceedings of the international conference on representation theory, Shanghai, China, June 29-July 3, 1998. Beijing: China Higher Education Press (CHEP). 89-144 (2000).
Reviewer: Jörg Feldvoss (Hamburg)
A root system criterion for fully commutative and short braid-avoiding elements in affine Weyl groups. (English) Zbl 0952.20029
Reviewer: Chen Chengdong (Shanghai)
Toroidal braid group action and an automorphism of toroidal algebra \(U_q(sl_{n+1,\text{tor}})\) \((n\geqq 2)\). (English) Zbl 1022.17009
Weyl groups, affine Weyl groups and reflection groups. (English) Zbl 0933.20025
Carter, Roger W. (ed.) et al., Representations of reductive groups. Cambridge: Cambridge University Press. Publ. Newton Inst. 16, 21-39 (1998).
Reviewer: Wim Malfait (Kortrijk)
Lectures on representation theory and Knizhnik-Zamolodchikov equations. (English) Zbl 0903.17006
Mathematical Surveys and Monographs. 58. Providence, RI: American Mathematical Society (AMS). xiv, 198 p. (1998).
Reviewer: A.N.Pressley (London)
Quantum groups in two-dimensional physics. (English) Zbl 0885.17011
Cambridge Monographs on Mathematical Physics. Cambridge: Cambridge Univ. Press. xviii, 457 p. (1996).
Reviewer: J.S.Joel (Kelly)
Two-point spin-\(1/2\)-spin-\(1/2\) \(sl(2,\mathbb{C})\) conformal Kac-Moody blocks on the torus and their monodromies. (English) Zbl 0925.17030
A guide to quantum groups. (English) Zbl 0839.17010
Cambridge: Cambridge University Press. xv, 651 p. (1995).
Reviewer: J.S.Joel (Kelly)
Complements of discriminants of smooth maps: topology and applications. Transl. from the Russian by B. Goldfarb. Transl. ed. by S. Gelfand. Rev. ed. (English) Zbl 0826.55001
Translations of Mathematical Monographs. 98. Providence, RI: American Mathematical Society (AMS). 265 p. (1994).
Braid group action and quantum affine algebras. (English) Zbl 0807.17013
Reviewer: Yu.Bespalov (Kiev)
Crystal bases of modified quantized enveloping algebra. (English) Zbl 0794.17009
Reviewer: H.Yamada (Tokyo)
The quantum Weyl group and the universal quantum \(R\)-matrix for affine Lie algebra \(A^{(1)}_ 1\). (English) Zbl 0776.17011
Reviewer: N.Andruskiewitsch (Bonn)
Complements of discriminants of smooth maps: topology and applications. Transl. from the Russian by B. Goldfarb. Transl. ed. by S. Gelfand. (English) Zbl 0762.55001
Translations of Mathematical Monographs. 98. Providence, RI: American Mathematical Society (AMS). vi, 208 p. (1992).
Reviewer: C.T.C.Wall (Liverpool)
Computation of monodromy of certain W-invariant local systems of types B, C, D. (English. Russian original) Zbl 0717.20005
Funct. Anal. Appl. 24, No. 1, 78-79 (1990); translation from Funkts. Anal. Prilozh. 24, No. 1, 88-89 (1990).
Reviewer: D.Leites
Errata to: Vertex operators in conformal field theory on \(P^ 1\) and monodromy representations of braid group. (English) Zbl 0699.17019
Integrable systems in quantum field theory and statistical mechanics, Proc. Symp., Kyoto/Jap. and Kyuzeso/Jap. 1988, Adv. Stud. Pure Math. 19, 675-682 (1989).
Two remarks on recent developments in solvable models. (English) Zbl 0681.17015
Algebraic analysis, Pap. Dedicated to Prof. Mikio Sato on the Occas. of his Sixtieth Birthday, Vol. 1, 75-84 (1989).
Reviewer: H.Boseck
Solvable lattice models. (English) Zbl 0681.17014
Theta functions, Proc. 35th Summer Res. Inst. Bowdoin Coll., Brunswick/ME 1987, Proc. Symp. Pure Math. 49, Pt. 1, 295-331 (1989).
Reviewer: H.Boseck
Generalized braid groups and self-energy Feynman integrals. (English) Zbl 0662.20031
Braids, AMS-IMS-SIAM Jt. Summer Res. Conf., Santa Cruz/Calif. 1986, Contemp. Math. 78, 675-686 (1988).
Reviewer: A.Miller
Vertex operators in conformal field theory on \({\mathbb{P}}^ 1\) and monodromy representations of braid group. (English) Zbl 0661.17021
Conformal field theory and solvable lattice models, Symp., Kyoto/Jap. 1986, Adv. Stud. Pure Math. 16, 297-372 (1988).
Reviewer: J.Van der Jeugt
Filter Results by …
Document Type
- Journal Articles (49)
- Collection Articles (17)
- Books (9)
all
top 5
Author
- Callegaro, Filippo (4)
- Salvetti, Mario (4)
- Al Harbat, Sadek (3)
- Cherednik, Ivan V. (3)
- Etingof, Pavel Il’ich (3)
- Moroni, Davide (3)
- Takebayashi, Tadayoshi (3)
- Zhang, Weinan (3)
- Chari, Vyjayanthi (2)
- Date, Etsuro (2)
- Jimbo, Michio (2)
- Kanie, Yukihiro (2)
- Kashiwara, Masaki (2)
- Lu, Ming (2)
- Miwa, Tetsuji (2)
- Okado, Masato (2)
- Park, Euiyong (2)
- Rains, Eric M. (2)
- Tsuchiya, Akihiro (2)
- Vasil’ev, Viktor Anatol’evich (2)
- Wang, Weiqiang (2)
- Witten, Edward (2)
- Al Qasimi, Kayed (1)
- Appel, Andrea (1)
- Arkhipov, Sergey M. (1)
- Beck, Jonathan (1)
- Bellingeri, Paolo (1)
- Berenstein, Arkady (1)
- Bodin, Arnaud (1)
- Bowman, Christopher David (1)
- Burella, Glen (1)
- Cautis, Sabin (1)
- Cellini, Paola (1)
- Chlouveraki, Maria (1)
- Damiani, Ilaria (1)
- Digne, François (1)
- Ding, Jintai (1)
- Fan, Zhaobing (1)
- Arango Florentino, Carlos Armindo (1)
- Franco, Nuno (1)
- Frenkel, Igor B. (1)
- Fujita, Ryo (1)
- Geck, Meinolf (1)
- Gómez, Cesar A. (1)
- Goodman, Frederick M. (1)
- Gordon, Iain Grant (1)
- Greenstein, Jacob (1)
- Gukov, Sergei (1)
- Haettel, Thomas (1)
- Ion, Bogdan (1)
- Jordan, David Andrew (1)
- Kamnitzer, Joel (1)
- Kanstrup, Tina (1)
- Khoroshkin, Sergey M. (1)
- Kim, Myungho (1)
- Kirillov, Alexander A. jun. (1)
- Kodera, Ryosuke (1)
- Lawton, Sean (1)
- Levendorskiĭ, Sergeĭ Zakharovich (1)
- Licata, Anthony M. (1)
- Lukierski, Jerzy (1)
- Macdonald, Ian Grant (1)
- Malle, Gunter (1)
- Martino, Maurizio (1)
- Miki, Kei (1)
- Moura, Adriano A. (1)
- Murakami, Kota (1)
- Napolitano, Fabien (1)
- Nguyen Viet Dung (1)
- Nienhuis, Bernard (1)
- Norton, Emily (1)
- Oh, Se-jin (1)
- Orellana, Rosa C. (1)
- Papi, Paolo (1)
- Pasquier, Vincent (1)
- Popov, Vladimir Leonidovich (1)
- Poulain D’Andecy, Loïc (1)
- Pressley, Andrew (1)
- Ram, Arun (1)
- Rouquier, Raphaël (1)
- Ruiz-Altaba, Martí (1)
- Sahi, Siddhartha (1)
- Sierra, Germán (1)
- Simental, José E. (1)
- Smyrnakis, John Manolis (1)
- Soibelman, Yan S. (1)
- Stokman, Jasper V. (1)
- Stukopin, Vladimir Alekseevich (1)
- Suárez-Serrato, Pablo (1)
- Tolstoĭ, Valeriĭ Nikolaevich (1)
- Tong, Bolun (1)
- Underwood, Robert G. (1)
- Vala, Jiří (1)
- Vlaar, Bart (1)
- Watts, Paul (1)
- Wen, Qiaoyan (1)
- Wenzl, Hans (1)
- Zhu, Ping (1)
- Zimmermann, Alexander (1)
all
top 5
Serial
- J. Algebra (4)
- Commun. Math. Phys. (3)
- Adv. Math. (3)
- Lett. Math. Phys. (2)
- Ann. Inst. Fourier (2)
- Math. Z. (2)
- Int. Math. Res. Not. (2)
- J. Knot Theory Ramifications (2)
- Sel. Math., New Ser. (2)
- Transform. Groups (2)
- Represent. Theory (2)
- Ann. Henri Poincaré (2)
- Transl. Math. Monogr. (2)
- Pioneer J. Math. Math. Sci. (2)
- Commun. Algebra (1)
- Nucl. Phys., B (1)
- Duke Math. J. (1)
- Funct. Anal. Appl. (1)
- Math. Ann. (1)
- Mem. Am. Math. Soc. (1)
- Proc. Japan Acad., Ser. A (1)
- Topology (1)
- Trans. Am. Math. Soc. (1)
- Topology Appl. (1)
- Acta Appl. Math. (1)
- Discrete Comput. Geom. (1)
- Geom. Funct. Anal. (1)
- Appl. Algebra Eng. Commun. Comput. (1)
- J. Algebr. Comb. (1)
- Doc. Math. (1)
- J. Eur. Math. Soc. (JEMS) (1)
- J. Inst. Math. Jussieu (1)
- SIGMA, Symmetry Integrability Geom. Methods Appl. (1)
- Camb. Tracts Math. (1)
- Math. Surv. Monogr. (1)
- Proc. Steklov Inst. Math. (1)
- Tesi, Sc. Norm. Super. Pisa (N.S.) (1)
- Universitext (1)
- Camb. Monogr. Math. Phys. (1)
Software
- CHEVIE (1)
