Gui, Bin Convergence of sewing Conformal blocks. (English) Zbl 07821483 Commun. Contemp. Math. 26, No. 3, Article ID 2350007, 65 p. (2024). MSC: 17B69 PDFBibTeX XMLCite \textit{B. Gui}, Commun. Contemp. Math. 26, No. 3, Article ID 2350007, 65 p. (2024; Zbl 07821483) Full Text: DOI arXiv
Kolesnikov, Pavel; Mashurov, Farukh; Sartayev, Bauyrzhan On pre-Novikov algebras and derived Zinbiel variety. (English) Zbl 07819248 SIGMA, Symmetry Integrability Geom. Methods Appl. 20, Paper 017, 15 p. (2024). MSC: 17A36 17A30 18M60 PDFBibTeX XMLCite \textit{P. Kolesnikov} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 20, Paper 017, 15 p. (2024; Zbl 07819248) Full Text: arXiv Link
Fox, Daniel J. F. Sectional nonassociativity of metrized algebras. (English) Zbl 07818506 Ann. Mat. Pura Appl. (4) 203, No. 2, 499-532 (2024). MSC: 17A99 17C99 17D99 PDFBibTeX XMLCite \textit{D. J. F. Fox}, Ann. Mat. Pura Appl. (4) 203, No. 2, 499--532 (2024; Zbl 07818506) Full Text: DOI arXiv OA License
Bojko, Arkadij; Lim, Woonam; Moreira, Miguel Virasoro constraints for moduli of sheaves and vertex algebras. (English) Zbl 07813242 Invent. Math. 236, No. 1, 387-476 (2024). MSC: 14F08 14H60 14J60 17B68 17B69 PDFBibTeX XMLCite \textit{A. Bojko} et al., Invent. Math. 236, No. 1, 387--476 (2024; Zbl 07813242) Full Text: DOI arXiv OA License
Xu, Zhongyin; Hong, Yanyong Algebraic constructions for left-symmetric conformal algebras. (English) Zbl 07808427 Commun. Algebra 52, No. 2, 865-883 (2024). MSC: 17A30 17A60 17B60 17B69 17D25 PDFBibTeX XMLCite \textit{Z. Xu} and \textit{Y. Hong}, Commun. Algebra 52, No. 2, 865--883 (2024; Zbl 07808427) Full Text: DOI arXiv
Kozlov, Roman A. On universal conformal envelopes for quadratic Lie conformal algebras. (English) Zbl 07808420 Commun. Algebra 52, No. 2, 733-746 (2024). MSC: 17B35 17B63 17B69 PDFBibTeX XMLCite \textit{R. A. Kozlov}, Commun. Algebra 52, No. 2, 733--746 (2024; Zbl 07808420) Full Text: DOI arXiv
Khovanov, Mikhail; Qi, You; Sussan, Joshua \(p\)-DG cyclotomic nilHecke algebras. (English) Zbl 07807564 Memoirs of the American Mathematical Society 1462. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6871-2/pbk; 978-1-4704-7719-6/ebook). v, 94 p. (2024). MSC: 16-02 16T20 17B10 17B37 18N10 18N25 20G42 PDFBibTeX XMLCite \textit{M. Khovanov} et al., \(p\)-DG cyclotomic nilHecke algebras. Providence, RI: American Mathematical Society (AMS) (2024; Zbl 07807564) Full Text: DOI arXiv
Wen, Jia Jia; Hong, Yan Yong Extending structures for Gel’fand-Dorfman bialgebras. (English) Zbl 07806023 Acta Math. Sin., Engl. Ser. 40, No. 2, 619-638 (2024). MSC: 17A30 17D25 17A60 17B69 PDFBibTeX XMLCite \textit{J. J. Wen} and \textit{Y. Y. Hong}, Acta Math. Sin., Engl. Ser. 40, No. 2, 619--638 (2024; Zbl 07806023) Full Text: DOI arXiv
Cheng, Miranda C. N.; Chun, Sungbong; Feigin, Boris; Ferrari, Francesca; Gukov, Sergei; Harrison, Sarah M.; Passaro, Davide 3-manifolds and VOA characters. (English) Zbl 07804751 Commun. Math. Phys. 405, No. 2, Paper No. 44, 76 p. (2024). MSC: 81Txx 17Bxx 57Kxx PDFBibTeX XMLCite \textit{M. C. N. Cheng} et al., Commun. Math. Phys. 405, No. 2, Paper No. 44, 76 p. (2024; Zbl 07804751) Full Text: DOI arXiv OA License
Korhonen, Mikko Adjoint Jordan blocks for simple algebraic groups of type \(C_{\ell}\) in characteristic two. (English) Zbl 07797055 Eur. J. Math. 10, No. 1, Paper No. 2, 46 p. (2024). MSC: 17B45 20G99 PDFBibTeX XMLCite \textit{M. Korhonen}, Eur. J. Math. 10, No. 1, Paper No. 2, 46 p. (2024; Zbl 07797055) Full Text: DOI arXiv
Cantarini, Nicoletta; Caselli, Fabrizio; Kac, Victor A Lie conformal superalgebra and duality of representations for \(E(4,4)\). (English) Zbl 07794563 Adv. Math. 437, Article ID 109416, 21 p. (2024). MSC: 17B05 17B65 17B70 PDFBibTeX XMLCite \textit{N. Cantarini} et al., Adv. Math. 437, Article ID 109416, 21 p. (2024; Zbl 07794563) Full Text: DOI arXiv
Wu, Zhixiang Some graded Hopf-module pseudoalgebras. (English) Zbl 07787782 J. Algebra 641, 587-619 (2024). MSC: 16T05 16S40 17B55 17B70 81T05 PDFBibTeX XMLCite \textit{Z. Wu}, J. Algebra 641, 587--619 (2024; Zbl 07787782) Full Text: DOI
Bagnoli, Lucia Homology of the complexes of finite Verma modules over \(CK_6\). (English) Zbl 07787774 J. Algebra 641, 307-352 (2024). MSC: 17B55 17B10 17B65 17B70 PDFBibTeX XMLCite \textit{L. Bagnoli}, J. Algebra 641, 307--352 (2024; Zbl 07787774) Full Text: DOI arXiv
Chen, Fulin; Ding, Lingen; Wang, Qing Vertex algebras and TKK algebras. (English) Zbl 07783372 J. Algebra 640, 147-173 (2024). MSC: 17B67 17B69 PDFBibTeX XMLCite \textit{F. Chen} et al., J. Algebra 640, 147--173 (2024; Zbl 07783372) Full Text: DOI arXiv
Sun, Qinxiu; Li, Zhen Cohomologies of relative Rota-Baxter Lie algebras with derivations and applications. (English) Zbl 07783040 J. Geom. Phys. 195, Article ID 105054, 17 p. (2024). MSC: 17B38 16E40 17B10 PDFBibTeX XMLCite \textit{Q. Sun} and \textit{Z. Li}, J. Geom. Phys. 195, Article ID 105054, 17 p. (2024; Zbl 07783040) Full Text: DOI
Fayers, Matthew Comparing Fock spaces in types \(A^{(1)}A^{(2)}\). (English) Zbl 07811527 Algebr. Comb. 6, No. 5, 1347-1381 (2023). MSC: 17B37 05E10 20C25 20C30 PDFBibTeX XMLCite \textit{M. Fayers}, Algebr. Comb. 6, No. 5, 1347--1381 (2023; Zbl 07811527) Full Text: DOI arXiv
Campoamor-Stursberg, Rutwig; Latini, Danilo; Marquette, Ian; Zhang, Yao-Zhong Polynomial algebras from Lie algebra reduction chains \(\mathfrak{g}\supset\mathfrak{g}'\). (English) Zbl 07801084 Ann. Phys. 459, Article ID 169496, 19 p. (2023). MSC: 17-XX 81-XX PDFBibTeX XMLCite \textit{R. Campoamor-Stursberg} et al., Ann. Phys. 459, Article ID 169496, 19 p. (2023; Zbl 07801084) Full Text: DOI arXiv
Amara-Omari, Ola; Schaps, Mary External vertices for crystals of affine type A. (English) Zbl 07787989 Algebr. Represent. Theory 26, No. 6, 2785-2800 (2023). MSC: 17B10 20C30 PDFBibTeX XMLCite \textit{O. Amara-Omari} and \textit{M. Schaps}, Algebr. Represent. Theory 26, No. 6, 2785--2800 (2023; Zbl 07787989) Full Text: DOI
Bagnoli, Lucia Computation of the homology of the complexes of finite Verma modules for \({K}_4^{\prime}\). (English) Zbl 07787985 Algebr. Represent. Theory 26, No. 6, 2627-2682 (2023). MSC: 17B05 17B65 17B70 PDFBibTeX XMLCite \textit{L. Bagnoli}, Algebr. Represent. Theory 26, No. 6, 2627--2682 (2023; Zbl 07787985) Full Text: DOI arXiv OA License
Adamo, Maria Stella; Giorgetti, Luca; Tanimoto, Yoh Wightman fields for two-dimensional conformal field theories with pointed representation category. (English) Zbl 07786913 Commun. Math. Phys. 404, No. 3, 1231-1273 (2023). MSC: 81Txx 46Lxx 17Bxx PDFBibTeX XMLCite \textit{M. S. Adamo} et al., Commun. Math. Phys. 404, No. 3, 1231--1273 (2023; Zbl 07786913) Full Text: DOI arXiv OA License
Adamović, Dražen; Kontrec, Ana Bershadsky-Polyakov vertex algebras at positive integer levels and duality. (English) Zbl 07785100 Transform. Groups 28, No. 4, 1325-1355 (2023). MSC: 17Bxx 81Txx 81Rxx PDFBibTeX XMLCite \textit{D. Adamović} and \textit{A. Kontrec}, Transform. Groups 28, No. 4, 1325--1355 (2023; Zbl 07785100) Full Text: DOI arXiv
Dedushenko, Mykola; Nekrasov, Nikita Interfaces and quantum algebras. I: Stable envelopes. (English) Zbl 07782995 J. Geom. Phys. 194, Article ID 104991, 74 p. (2023). Reviewer: Sonia Natale (Córdoba) MSC: 17B37 81Txx PDFBibTeX XMLCite \textit{M. Dedushenko} and \textit{N. Nekrasov}, J. Geom. Phys. 194, Article ID 104991, 74 p. (2023; Zbl 07782995) Full Text: DOI arXiv
Zhang, Yuanyuan; Zhao, Jun; Liu, Genqiang Rota-Baxter family \(\Omega\)-associative conformal algebras and their cohomology theory. (English) Zbl 07775730 J. Math. Phys. 64, No. 10, Article ID 101705, 28 p. (2023). MSC: 17B69 17B38 PDFBibTeX XMLCite \textit{Y. Zhang} et al., J. Math. Phys. 64, No. 10, Article ID 101705, 28 p. (2023; Zbl 07775730) Full Text: DOI arXiv
Mirković, Ivan Lattice vertex algebras and loop Grassmannians. (English) Zbl 07773335 Transform. Groups 28, No. 3, 1221-1243 (2023). Reviewer: Mee Seong Im (Annapolis) MSC: 14F99 17B99 22E67 PDFBibTeX XMLCite \textit{I. Mirković}, Transform. Groups 28, No. 3, 1221--1243 (2023; Zbl 07773335) Full Text: DOI
Xia, Chunguang Classification of finite irreducible conformal modules over \(N = 2\) Lie conformal superalgebras of block type. (English) Zbl 07768204 Algebr. Represent. Theory 26, No. 5, 1731-1757 (2023). MSC: 17B10 17B65 17B68 17B69 PDFBibTeX XMLCite \textit{C. Xia}, Algebr. Represent. Theory 26, No. 5, 1731--1757 (2023; Zbl 07768204) Full Text: DOI arXiv
Casarin, Luca A Feigin-Frenkel theorem with \(n\) singularities. (English) Zbl 07765303 Adv. Math. 434, Article ID 109335, 85 p. (2023). MSC: 17B67 17B69 17B65 PDFBibTeX XMLCite \textit{L. Casarin}, Adv. Math. 434, Article ID 109335, 85 p. (2023; Zbl 07765303) Full Text: DOI arXiv
Terwilliger, Paul Using a \(q\)-shuffle algebra to describe the basic module \(V(\Lambda_0)\) for the quantized enveloping algebra \(U_q(\widehat{\mathfrak{sl}}_2)\). (English) Zbl 07758708 Ars Math. Contemp. 23, No. 4, Paper No. 10, 34 p. (2023). MSC: 17B37 05E14 81R50 PDFBibTeX XMLCite \textit{P. Terwilliger}, Ars Math. Contemp. 23, No. 4, Paper No. 10, 34 p. (2023; Zbl 07758708) Full Text: DOI arXiv
Bakalov, Bojko; Villarreal, Juan J. Logarithmic vertex algebras and non-local Poisson vertex algebras. (English) Zbl 07754953 Commun. Math. Phys. 404, No. 1, 185-226 (2023). MSC: 17Bxx 81Rxx 81Txx PDFBibTeX XMLCite \textit{B. Bakalov} and \textit{J. J. Villarreal}, Commun. Math. Phys. 404, No. 1, 185--226 (2023; Zbl 07754953) Full Text: DOI arXiv
Halacheva, Iva Shift of argument algebras and de Concini-Procesi spaces. (English) Zbl 1526.17038 Crooks, Peter (ed.) et al., Compactifications, configurations, and cohomology. Conference, Northeastern University, Boston, Massachusetts, USA, October 22–24, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 790, 79-94 (2023). Reviewer: Mee Seong Im (Annapolis) MSC: 17B63 17B10 PDFBibTeX XMLCite \textit{I. Halacheva}, Contemp. Math. 790, 79--94 (2023; Zbl 1526.17038) Full Text: DOI
Yuan, Lamei; Liu, Jiefeng Twisting theory, relative Rota-Baxter type operators and \(L_\infty\)-algebras on Lie conformal algebras. (English) Zbl 07754327 J. Algebra 636, 88-122 (2023). MSC: 17A30 17B55 PDFBibTeX XMLCite \textit{L. Yuan} and \textit{J. Liu}, J. Algebra 636, 88--122 (2023; Zbl 07754327) Full Text: DOI arXiv
Bakalov, Bojko; Elsinger, Jason; Kac, Victor G.; Todorov, Ivan Orbifolds of lattice vertex algebras. (English) Zbl 07751174 Jpn. J. Math. (3) 18, No. 2, 169-274 (2023). MSC: 17B69 81R10 PDFBibTeX XMLCite \textit{B. Bakalov} et al., Jpn. J. Math. (3) 18, No. 2, 169--274 (2023; Zbl 07751174) Full Text: DOI arXiv
Aggarwal, Amol; Borodin, Alexei; Wheeler, Michael Colored fermionic vertex models and symmetric functions. (English) Zbl 1522.05495 Commun. Am. Math. Soc. 3, 400-630 (2023). MSC: 05E05 17B65 PDFBibTeX XMLCite \textit{A. Aggarwal} et al., Commun. Am. Math. Soc. 3, 400--630 (2023; Zbl 1522.05495) Full Text: DOI arXiv
Zuevsky, A. Reduction cohomology of Riemann surfaces. (English) Zbl 07742586 Rev. Math. Phys. 35, No. 7, Article ID 2330005, 32 p. (2023). MSC: 17Bxx 57R32 22A22 55R40 PDFBibTeX XMLCite \textit{A. Zuevsky}, Rev. Math. Phys. 35, No. 7, Article ID 2330005, 32 p. (2023; Zbl 07742586) Full Text: DOI arXiv
Höhn, Gerald; Mason, Geoffrey Most vertex superalgebras associated to an odd unimodular lattice of rank 24 have an \(N=4\) superconformal structure. (English) Zbl 07739749 Exp. Math. 32, No. 3, 502-504 (2023). MSC: 17B69 17B81 PDFBibTeX XMLCite \textit{G. Höhn} and \textit{G. Mason}, Exp. Math. 32, No. 3, 502--504 (2023; Zbl 07739749) Full Text: DOI arXiv
Hong, Jiuzu; Kumar, Shrawan Conformal blocks for Galois covers of algebraic curves. (English) Zbl 07734902 Compos. Math. 159, No. 10, 2191-2259 (2023). MSC: 17B67 17B68 14H81 17B81 14D21 14H60 81R10 PDFBibTeX XMLCite \textit{J. Hong} and \textit{S. Kumar}, Compos. Math. 159, No. 10, 2191--2259 (2023; Zbl 07734902) Full Text: DOI arXiv
Lin, Xingjun Rationality of affine vertex operator superalgebras with rational conformal weights. (English) Zbl 07732078 Commun. Math. Phys. 402, No. 3, 2765-2790 (2023). MSC: 17B69 81R10 PDFBibTeX XMLCite \textit{X. Lin}, Commun. Math. Phys. 402, No. 3, 2765--2790 (2023; Zbl 07732078) Full Text: DOI arXiv
Kong, Fei Quantum affine vertex algebras associated to untwisted quantum affinization algebras. (English) Zbl 07732073 Commun. Math. Phys. 402, No. 3, 2577-2625 (2023). MSC: 17B37 17B69 81R50 PDFBibTeX XMLCite \textit{F. Kong}, Commun. Math. Phys. 402, No. 3, 2577--2625 (2023; Zbl 07732073) Full Text: DOI arXiv
Creutzig, Thomas; Diaconescu, Duiliu-Emanuel; Ma, Mingyang Affine Laumon spaces and iterated \(\mathcal{W}\)-algebras. (English) Zbl 07732065 Commun. Math. Phys. 402, No. 3, 2133-2168 (2023). MSC: 17B69 81R10 PDFBibTeX XMLCite \textit{T. Creutzig} et al., Commun. Math. Phys. 402, No. 3, 2133--2168 (2023; Zbl 07732065) Full Text: DOI arXiv
Zuevsky, A. Product-type classes for vertex algebra cohomology of foliations on complex curves. (English) Zbl 07727594 Commun. Math. Phys. 402, No. 2, 1453-1511 (2023). MSC: 17Bxx 57Rxx 81Txx PDFBibTeX XMLCite \textit{A. Zuevsky}, Commun. Math. Phys. 402, No. 2, 1453--1511 (2023; Zbl 07727594) Full Text: DOI arXiv
Wu, Liang; Tan, Youjun Faithful representations of the Galilean Lie algebra in two spatial dimensions. (English) Zbl 07722467 Georgian Math. J. 30, No. 4, 611-628 (2023). MSC: 17B10 17B30 PDFBibTeX XMLCite \textit{L. Wu} and \textit{Y. Tan}, Georgian Math. J. 30, No. 4, 611--628 (2023; Zbl 07722467) Full Text: DOI
Carpi, Sebastiano; Gaudio, Tiziano; Giorgetti, Luca; Hillier, Robin Haploid algebras in \(C^*\)-tensor categories and the Schellekens list. (English) Zbl 07719653 Commun. Math. Phys. 402, No. 1, 169-212 (2023). MSC: 17B69 46L37 81T40 81R15 81R10 PDFBibTeX XMLCite \textit{S. Carpi} et al., Commun. Math. Phys. 402, No. 1, 169--212 (2023; Zbl 07719653) Full Text: DOI arXiv
Labelle, Antoine; Dimitrov, Stoyan Chess tableaux, powers of two and affine Lie algebras. (English) Zbl 1518.05203 J. Algebr. Comb. 58, No. 1, 247-261 (2023). MSC: 05E10 05A15 20C30 17B37 PDFBibTeX XMLCite \textit{A. Labelle} and \textit{S. Dimitrov}, J. Algebr. Comb. 58, No. 1, 247--261 (2023; Zbl 1518.05203) Full Text: DOI arXiv
Tan, Haijun Classification of simple locally finite modules over the affine-Virasoro algebras. (English) Zbl 1519.17013 J. Algebra 631, 738-755 (2023). Reviewer: Mee Seong Im (Annapolis) MSC: 17B10 17B65 17B67 17B68 17B69 17B81 PDFBibTeX XMLCite \textit{H. Tan}, J. Algebra 631, 738--755 (2023; Zbl 1519.17013) Full Text: DOI
Adamović, Dražen; Wang, Qing A duality between vertex superalgebras \(L_{-3/2}(\mathfrak{osp}(1|2))\) and \(\mathcal{V}^{(2)}\) and generalizations to logarithmic vertex algebras. (English) Zbl 1523.17011 J. Algebra 631, 72-105 (2023). Reviewer: Mee Seong Im (Annapolis) MSC: 17B10 81V74 81R10 PDFBibTeX XMLCite \textit{D. Adamović} and \textit{Q. Wang}, J. Algebra 631, 72--105 (2023; Zbl 1523.17011) Full Text: DOI arXiv
Carpi, Sebastiano; Tomassini, Luca Energy bounds for vertex operator algebra extensions. (English) Zbl 1521.17072 Lett. Math. Phys. 113, No. 3, Paper No. 59, 24 p. (2023). MSC: 17B69 47N50 81T40 81T05 81R15 PDFBibTeX XMLCite \textit{S. Carpi} and \textit{L. Tomassini}, Lett. Math. Phys. 113, No. 3, Paper No. 59, 24 p. (2023; Zbl 1521.17072) Full Text: DOI arXiv
Zuevsky, A. Cosimplicial meromorphic functions cohomology on complex manifolds. (English) Zbl 07702927 Rev. Math. Phys. 35, No. 5, Article ID 2330002, 22 p. (2023). MSC: 53C12 57R20 17B69 PDFBibTeX XMLCite \textit{A. Zuevsky}, Rev. Math. Phys. 35, No. 5, Article ID 2330002, 22 p. (2023; Zbl 07702927) Full Text: DOI arXiv
Liu, Jiefeng; Zhou, Hongyu Cohomology and deformation quantization of Poisson conformal algebras. (English) Zbl 07701659 J. Algebra 630, 92-127 (2023). MSC: 17B63 17B56 53D55 PDFBibTeX XMLCite \textit{J. Liu} and \textit{H. Zhou}, J. Algebra 630, 92--127 (2023; Zbl 07701659) Full Text: DOI arXiv
Yu, Xuan Cohomology and deformation theory for operad with higher derivation. (English) Zbl 1514.18018 J. Pure Appl. Algebra 227, No. 12, Article ID 107440, 23 p. (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18M70 18G90 16S80 17A36 16E40 PDFBibTeX XMLCite \textit{X. Yu}, J. Pure Appl. Algebra 227, No. 12, Article ID 107440, 23 p. (2023; Zbl 1514.18018) Full Text: DOI
D’Andrea, Alessandro Irreducible modules over finite simple Lie pseudoalgebras. IV: Non-primitive pseudoalgebras. (English) Zbl 1521.17089 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 24, No. 1, 97-140 (2023). MSC: 17B99 17B10 17B35 16T05 PDFBibTeX XMLCite \textit{A. D'Andrea}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 24, No. 1, 97--140 (2023; Zbl 1521.17089) Full Text: DOI arXiv
Carpi, Sebastiano; Tanimoto, Yoh; Weiner, Mihály Unitary representations of the \(\mathcal{W}_3\)-algebra with \(c \geq 2\). (English) Zbl 07693337 Transform. Groups 28, No. 2, 561-590 (2023). Reviewer: Robert McRae (Beijing) MSC: 17B69 17B65 17B68 81R10 PDFBibTeX XMLCite \textit{S. Carpi} et al., Transform. Groups 28, No. 2, 561--590 (2023; Zbl 07693337) Full Text: DOI arXiv
Kolesnikov, P. S.; Nesterenko, A. A. Conformal envelopes of Novikov-Poisson algebras. (English. Russian original) Zbl 1523.17008 Sib. Math. J. 64, No. 3, 598-610 (2023); translation from Sib. Mat. Zh. 64, No. 3, 546-561 (2023). Reviewer: Ivan Kaygorodov (Covilhã) MSC: 17A60 17A36 17Dxx PDFBibTeX XMLCite \textit{P. S. Kolesnikov} and \textit{A. A. Nesterenko}, Sib. Math. J. 64, No. 3, 598--610 (2023; Zbl 1523.17008); translation from Sib. Mat. Zh. 64, No. 3, 546--561 (2023) Full Text: DOI
Camia, Federico; Foit, Valentino F.; Gandolfi, Alberto; Kleban, Matthew Scalar conformal primary fields in the Brownian loop soup. (English) Zbl 07687748 Commun. Math. Phys. 400, No. 2, 977-1018 (2023). MSC: 82Bxx 81Txx 17Bxx PDFBibTeX XMLCite \textit{F. Camia} et al., Commun. Math. Phys. 400, No. 2, 977--1018 (2023; Zbl 07687748) Full Text: DOI arXiv
Alhussein, H.; Kolesnikov, P. Hochschild cohomology of the Weyl conformal algebra with coefficients in finite modules. (English) Zbl 1512.17051 J. Math. Phys. 64, No. 4, Article ID 041701, 16 p. (2023). MSC: 17B69 17B68 81R10 16E40 17B35 PDFBibTeX XMLCite \textit{H. Alhussein} and \textit{P. Kolesnikov}, J. Math. Phys. 64, No. 4, Article ID 041701, 16 p. (2023; Zbl 1512.17051) Full Text: DOI arXiv
Hou, Bo; Zhao, Jun The \(\mathcal{O} N\)-structure on bimodules over associative conformal algebras. (English) Zbl 07681735 Commun. Algebra 51, No. 7, 3074-3104 (2023). MSC: 16S80 16D20 17A30 PDFBibTeX XMLCite \textit{B. Hou} and \textit{J. Zhao}, Commun. Algebra 51, No. 7, 3074--3104 (2023; Zbl 07681735) Full Text: DOI
Heidersdorf, Th.; Weissauer, R. On classical tensor categories attached to the irreducible representations of the general linear supergroups \(\mathrm{GL}(n|n)\). (English) Zbl 1518.17012 Sel. Math., New Ser. 29, No. 3, Paper No. 34, 101 p. (2023). Reviewer: Mee Seong Im (Annapolis) MSC: 17B10 17B20 17B55 18M05 20G05 PDFBibTeX XMLCite \textit{Th. Heidersdorf} and \textit{R. Weissauer}, Sel. Math., New Ser. 29, No. 3, Paper No. 34, 101 p. (2023; Zbl 1518.17012) Full Text: DOI arXiv
Govindarajan, Suresh; Sharma, Sachin S.; Viswanath, Sankaran The Brylinski filtration for affine Kac-Moody algebras and representations of \(\mathscr{W}\)-algebras. (English) Zbl 1521.17053 Algebr. Represent. Theory 26, No. 2, 491-512 (2023). MSC: 17B67 17B69 PDFBibTeX XMLCite \textit{S. Govindarajan} et al., Algebr. Represent. Theory 26, No. 2, 491--512 (2023; Zbl 1521.17053) Full Text: DOI arXiv
Xu, Maosen; Hong, Yanyong Finite irreducible modules of a class of \(\mathbb{Z}^+\)-graded Lie conformal algebras. (English) Zbl 1521.17016 J. Pure Appl. Algebra 227, No. 8, Article ID 107351, 16 p. (2023). MSC: 17B10 17B65 17B68 17B69 PDFBibTeX XMLCite \textit{M. Xu} and \textit{Y. Hong}, J. Pure Appl. Algebra 227, No. 8, Article ID 107351, 16 p. (2023; Zbl 1521.17016) Full Text: DOI arXiv
Bremner, Murray; Dotsenko, Vladimir Associator dependent algebras and Koszul duality. (English) Zbl 1510.18008 Ann. Mat. Pura Appl. (4) 202, No. 3, 1233-1254 (2023). Reviewer: Loïc Foissy (Calais) MSC: 18M70 16R10 17A30 PDFBibTeX XMLCite \textit{M. Bremner} and \textit{V. Dotsenko}, Ann. Mat. Pura Appl. (4) 202, No. 3, 1233--1254 (2023; Zbl 1510.18008) Full Text: DOI arXiv
Kožić, Slaven On the \(h\)-adic quantum vertex algebras associated with Hecke symmetries. (English) Zbl 07678016 Commun. Math. Phys. 397, No. 2, 607-634 (2023). MSC: 17B69 81R50 PDFBibTeX XMLCite \textit{S. Kožić}, Commun. Math. Phys. 397, No. 2, 607--634 (2023; Zbl 07678016) Full Text: DOI arXiv
Ragoucy, Eric; Song, Arim; Suh, Uhi Rinn Generators of supersymmetric classical \(W\)-algebras. (English) Zbl 07676185 Commun. Math. Phys. 397, No. 1, 111-139 (2023). MSC: 17B20 81R10 PDFBibTeX XMLCite \textit{E. Ragoucy} et al., Commun. Math. Phys. 397, No. 1, 111--139 (2023; Zbl 07676185) Full Text: DOI arXiv
Liu, Linlin The construction and deformation of Novikov \(H\)-pseudoalgebras. (English) Zbl 1522.16028 Commun. Algebra 51, No. 6, 2614-2627 (2023). Reviewer: Dmitry Artamonov (Moskva) MSC: 16T05 13N15 17B38 PDFBibTeX XMLCite \textit{L. Liu}, Commun. Algebra 51, No. 6, 2614--2627 (2023; Zbl 1522.16028) Full Text: DOI
Franc, Cameron; Mason, Geoffrey \(p\)-adic vertex operator algebras. (English) Zbl 1521.17076 Res. Number Theory 9, No. 2, Paper No. 27, 41 p. (2023). MSC: 17B69 11F85 81R10 PDFBibTeX XMLCite \textit{C. Franc} and \textit{G. Mason}, Res. Number Theory 9, No. 2, Paper No. 27, 41 p. (2023; Zbl 1521.17076) Full Text: DOI arXiv
Wu, Ying; Wang, Huidong; Xia, Chunguang Representations of super deformation of Heisenberg-Virasoro type Lie conformal algebras. (English) Zbl 1518.17015 Commun. Algebra 51, No. 5, 1944-1954 (2023). MSC: 17B10 17B65 17B68 17B69 PDFBibTeX XMLCite \textit{Y. Wu} et al., Commun. Algebra 51, No. 5, 1944--1954 (2023; Zbl 1518.17015) Full Text: DOI
Zhang, Xin; Yan, Zhaowen Linear transformations of vertex operators presentations of coupled Hall-Littlewood functions. (English) Zbl 1521.37077 Anal. Math. Phys. 13, No. 2, Paper No. 32, 34 p. (2023). MSC: 37K10 37K20 17B69 05E05 17B80 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{Z. Yan}, Anal. Math. Phys. 13, No. 2, Paper No. 32, 34 p. (2023; Zbl 1521.37077) Full Text: DOI
Chirvasitu, Alex; Kanda, Ryo; Smith, S. Paul Elliptic R-matrices and Feigin and Odesskii’s elliptic algebras. (English) Zbl 1514.14004 Sel. Math., New Ser. 29, No. 2, Paper No. 31, 81 p. (2023). Reviewer: Jason Gaddis (Oxford) MSC: 14A22 16S38 16W50 17B37 14H52 PDFBibTeX XMLCite \textit{A. Chirvasitu} et al., Sel. Math., New Ser. 29, No. 2, Paper No. 31, 81 p. (2023; Zbl 1514.14004) Full Text: DOI arXiv
Gubarev, Vsevolod; Kozlov, Roman Conformal Yang-Baxter equation on \(\mathrm{Cur}(\mathrm{sl}_2(\mathbb{C}))\). (English) Zbl 1511.17043 J. Math. Phys. 64, No. 1, Article ID 011704, 14 p. (2023). MSC: 17B38 17B69 17B37 17B62 81R50 PDFBibTeX XMLCite \textit{V. Gubarev} and \textit{R. Kozlov}, J. Math. Phys. 64, No. 1, Article ID 011704, 14 p. (2023; Zbl 1511.17043) Full Text: DOI arXiv
Lee, Gahng Sahn; Song, Arim; Suh, Uhi Rinn Dirac reductions and classical W-algebras. (English) Zbl 1511.17064 J. Math. Phys. 64, No. 1, Article ID 011703, 34 p. (2023). MSC: 17B69 81R10 17B80 17B68 PDFBibTeX XMLCite \textit{G. S. Lee} et al., J. Math. Phys. 64, No. 1, Article ID 011703, 34 p. (2023; Zbl 1511.17064) Full Text: DOI arXiv
Garbali, Alexandr; Neguţ, Andrei Computing the \(R\)-matrix of the quantum toroidal algebra. (English) Zbl 1511.17031 J. Math. Phys. 64, No. 1, Article ID 011702, 32 p. (2023). MSC: 17B37 81R12 PDFBibTeX XMLCite \textit{A. Garbali} and \textit{A. Neguţ}, J. Math. Phys. 64, No. 1, Article ID 011702, 32 p. (2023; Zbl 1511.17031) Full Text: DOI arXiv
Xia, Chunguang Representations of the associated Lie conformal algebra of the \(\mathcal{W}_{1 + \infty}\) algebra and beyond. (English) Zbl 1526.17016 J. Algebra 622, 69-97 (2023). MSC: 17B10 17B65 17B69 PDFBibTeX XMLCite \textit{C. Xia}, J. Algebra 622, 69--97 (2023; Zbl 1526.17016) Full Text: DOI
Ruan, Chenwei A generating function associated with the alternating elements in the positive part of \(U_q (\widehat{\mathfrak{sl}}_2)\). (English) Zbl 1522.17024 Commun. Algebra 51, No. 4, 1707-1720 (2023). Reviewer: Sonia Natale (Córdoba) MSC: 17B37 05E14 81R50 PDFBibTeX XMLCite \textit{C. Ruan}, Commun. Algebra 51, No. 4, 1707--1720 (2023; Zbl 1522.17024) Full Text: DOI arXiv
van Ekeren, Jethro; Rodríguez Morales, Bely Holomorphic integer graded vertex superalgebras. (English) Zbl 1516.17024 J. Algebra Appl. 22, No. 4, Article ID 2350081, 18 p. (2023). MSC: 17B69 11F22 PDFBibTeX XMLCite \textit{J. van Ekeren} and \textit{B. Rodríguez Morales}, J. Algebra Appl. 22, No. 4, Article ID 2350081, 18 p. (2023; Zbl 1516.17024) Full Text: DOI arXiv
Si, Mei; Song, Linliang Discriminants of quantized walled Brauer algebras. (English) Zbl 1522.20029 J. Pure Appl. Algebra 227, No. 7, Article ID 107333, 35 p. (2023). Reviewer: Enrico Jabara (Venezia) MSC: 20C08 17B37 PDFBibTeX XMLCite \textit{M. Si} and \textit{L. Song}, J. Pure Appl. Algebra 227, No. 7, Article ID 107333, 35 p. (2023; Zbl 1522.20029) Full Text: DOI arXiv
Nakatsuka, Shigenori On Miura maps for \(\mathcal{W}\)-superalgebras. (English) Zbl 1523.17059 Transform. Groups 28, No. 1, 375-399 (2023). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B69 16T05 17B56 PDFBibTeX XMLCite \textit{S. Nakatsuka}, Transform. Groups 28, No. 1, 375--399 (2023; Zbl 1523.17059) Full Text: DOI arXiv
Gao, Mengmeng; Rui, Hebing; Song, Linliang Representations of cyclotomic oriented Brauer categories. (English) Zbl 1521.18020 J. Pure Appl. Algebra 227, No. 6, Article ID 107304, 28 p. (2023). MSC: 18M99 17B10 33D80 PDFBibTeX XMLCite \textit{M. Gao} et al., J. Pure Appl. Algebra 227, No. 6, Article ID 107304, 28 p. (2023; Zbl 1521.18020) Full Text: DOI arXiv
Wang, Mengjun; Wu, Zhixiang Schrödinger-Virasoro Lie conformal algebras. (English) Zbl 1521.17064 Commun. Algebra 51, No. 2, 864-886 (2023). MSC: 17B68 17B70 81T05 18C40 PDFBibTeX XMLCite \textit{M. Wang} and \textit{Z. Wu}, Commun. Algebra 51, No. 2, 864--886 (2023; Zbl 1521.17064) Full Text: DOI
Mason, Geoffrey; Ng, Siu-Hung Modular quasi-Hopf algebras and groups with one involution. (English) Zbl 1522.20214 J. Pure Appl. Algebra 227, No. 5, Article ID 107264, 26 p. (2023). MSC: 20J06 16T05 17B69 18M20 20D08 PDFBibTeX XMLCite \textit{G. Mason} and \textit{S.-H. Ng}, J. Pure Appl. Algebra 227, No. 5, Article ID 107264, 26 p. (2023; Zbl 1522.20214) Full Text: DOI arXiv
Adamović, Dražen; Perše, Ozren; Vukorepa, Ivana On the representation theory of the vertex algebra \(L_{-5/2}(sl(4))\). (English) Zbl 1523.17055 Commun. Contemp. Math. 25, No. 2, Article ID 2150104, 42 p. (2023). MSC: 17B69 17B67 17B68 PDFBibTeX XMLCite \textit{D. Adamović} et al., Commun. Contemp. Math. 25, No. 2, Article ID 2150104, 42 p. (2023; Zbl 1523.17055) Full Text: DOI arXiv
Hou, Bo; Shen, Zhongxi; Zhao, Jun Gerstenhaber algebra of the Hochschild cohomology of an associative conformal algebra. (English) Zbl 1517.16008 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 2, Paper No. 53, 18 p. (2023). Reviewer: Constantin-Cosmin Todea (Cluj-Napoca) MSC: 16E40 17A30 PDFBibTeX XMLCite \textit{B. Hou} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 2, Paper No. 53, 18 p. (2023; Zbl 1517.16008) Full Text: DOI arXiv
Luo, Lipeng; Su, Yucai; Yue, Xiaoqing A class of graded conformal algebras which is induced by Heisenberg-Virasoro conformal algebra. (English) Zbl 07648531 J. Algebra 619, 130-152 (2023). Reviewer: Simone Castellan (Glasgow) MSC: 17B68 17B70 17A60 17B65 PDFBibTeX XMLCite \textit{L. Luo} et al., J. Algebra 619, 130--152 (2023; Zbl 07648531) Full Text: DOI arXiv
Wu, Zhixiang Representations of some associative pseudoalgebras. (English) Zbl 07643808 Forum Math. 35, No. 1, 147-185 (2023). MSC: 16T05 16W20 16D90 16W99 17B35 20G43 PDFBibTeX XMLCite \textit{Z. Wu}, Forum Math. 35, No. 1, 147--185 (2023; Zbl 07643808) Full Text: DOI arXiv
Kwon, Namhee Characters and quantum reduction for orthosymplectic Lie superalgebras. (English) Zbl 1521.17054 J. Algebra Appl. 22, No. 1, Article ID 2350025, 22 p. (2023). Reviewer: Rutwig Campoamor Stursberg (Madrid) MSC: 17B67 17B69 81R10 PDFBibTeX XMLCite \textit{N. Kwon}, J. Algebra Appl. 22, No. 1, Article ID 2350025, 22 p. (2023; Zbl 1521.17054) Full Text: DOI
Salehyan, Parham From solutions to linear ordinary differential equations to vertex operators. (English) Zbl 1508.14058 Bull. Braz. Math. Soc. (N.S.) 54, No. 1, Paper No. 3, 28 p. (2023). Reviewer: Letterio Gatto (Torino) MSC: 14M15 17B69 34A35 PDFBibTeX XMLCite \textit{P. Salehyan}, Bull. Braz. Math. Soc. (N.S.) 54, No. 1, Paper No. 3, 28 p. (2023; Zbl 1508.14058) Full Text: DOI
Blumer, Simone Kurosh theorem for certain Koszul Lie algebras. (English) Zbl 1525.17024 J. Algebra 614, 780-805 (2023). Reviewer: Jonas Deré (Leuven) MSC: 17B70 16E40 16W10 17B56 PDFBibTeX XMLCite \textit{S. Blumer}, J. Algebra 614, 780--805 (2023; Zbl 1525.17024) Full Text: DOI arXiv
Gao, Mengmeng; Rui, Hebing; Song, Linliang Representations of weakly triangular categories. (English) Zbl 1515.18011 J. Algebra 614, 481-534 (2023). Reviewer: Mee Seong Im (Annapolis) MSC: 18G80 17B10 PDFBibTeX XMLCite \textit{M. Gao} et al., J. Algebra 614, 481--534 (2023; Zbl 1515.18011) Full Text: DOI arXiv
Idrissi, Najib Curved Koszul duality of algebras over unital versions of binary operads. (English) Zbl 1508.18017 J. Pure Appl. Algebra 227, No. 3, Article ID 107208, 29 p. (2023). Reviewer: Benoît Fresse (Villeneuve d’Ascq) MSC: 18M70 16S37 18G10 17B63 PDFBibTeX XMLCite \textit{N. Idrissi}, J. Pure Appl. Algebra 227, No. 3, Article ID 107208, 29 p. (2023; Zbl 1508.18017) Full Text: DOI arXiv
Guo, Shuang Jian Cohomologies of Leibniz algebras with higher derivations. (Chinese. English summary) Zbl 07822707 Acta Math. Sin., Chin. Ser. 65, No. 6, 979-988 (2022). MSC: 17A32 17B40 PDFBibTeX XMLCite \textit{S. J. Guo}, Acta Math. Sin., Chin. Ser. 65, No. 6, 979--988 (2022; Zbl 07822707) Full Text: DOI
Wang, Wei; Xia, Chun Guang; Xu, Ying Conformal biderivations and automorphism groups of Schrödinger-Virasoro type Lie conformal algebras. (Chinese. English summary) Zbl 07822562 Acta Math. Sin., Chin. Ser. 65, No. 5, 927-938 (2022). MSC: 17B40 17B60 PDFBibTeX XMLCite \textit{W. Wang} et al., Acta Math. Sin., Chin. Ser. 65, No. 5, 927--938 (2022; Zbl 07822562) Full Text: DOI
Bakayoko, Ibrahima; Manga, Bakary Central extensions and Hom-quadratic Hom-Novikov color algebras. (English) Zbl 07799441 Seck, Diaraf (ed.) et al., Nonlinear analysis, geometry and applications. Proceedings of the second NLAGA-BIRS symposium, Cap Skirring, Senegal, January 25–30, 2022. Cham: Springer. Trends Math., 463-498 (2022). MSC: 17-XX PDFBibTeX XMLCite \textit{I. Bakayoko} and \textit{B. Manga}, in: Nonlinear analysis, geometry and applications. Proceedings of the second NLAGA-BIRS symposium, Cap Skirring, Senegal, January 25--30, 2022. Cham: Springer. 463--498 (2022; Zbl 07799441) Full Text: DOI
Grundland, A. M.; Hariton, A. J. Invariant solutions of the supersymmetric version of a two-phase fluid flow system. (English) Zbl 1527.35281 Ric. Mat. 71, No. 2, 757-775 (2022). MSC: 35Q35 76T06 76M60 22E60 17B81 35A09 81V73 81V74 PDFBibTeX XMLCite \textit{A. M. Grundland} and \textit{A. J. Hariton}, Ric. Mat. 71, No. 2, 757--775 (2022; Zbl 1527.35281) Full Text: DOI arXiv
Kamnitzer, Joel Symplectic resolutions, symplectic duality, and Coulomb branches. (English) Zbl 07738371 Bull. Lond. Math. Soc. 54, No. 5, 1515-1551 (2022). Reviewer: Mee Seong Im (Annapolis) MSC: 16G99 17B20 PDFBibTeX XMLCite \textit{J. Kamnitzer}, Bull. Lond. Math. Soc. 54, No. 5, 1515--1551 (2022; Zbl 07738371) Full Text: DOI arXiv OA License
Ganter, Nora; Laures, Gerd Codes, vertex operators and topological modular forms. (English) Zbl 07729891 Bull. Lond. Math. Soc. 54, No. 4, 1167-1196 (2022). MSC: 55N34 55R35 17B69 94B05 PDFBibTeX XMLCite \textit{N. Ganter} and \textit{G. Laures}, Bull. Lond. Math. Soc. 54, No. 4, 1167--1196 (2022; Zbl 07729891) Full Text: DOI arXiv
Ilyutko, D. P.; Nikonov, I. M. Weight systems of framed chord diagrams corresponding to Lie algebras. (English. Russian original) Zbl 1512.57020 Mosc. Univ. Math. Bull. 77, No. 6, 290-295 (2022); translation from Vestn. Mosk. Univ., Ser. I 77, No. 6, 60-64 (2022). MSC: 57K16 17B99 PDFBibTeX XMLCite \textit{D. P. Ilyutko} and \textit{I. M. Nikonov}, Mosc. Univ. Math. Bull. 77, No. 6, 290--295 (2022; Zbl 1512.57020); translation from Vestn. Mosk. Univ., Ser. I 77, No. 6, 60--64 (2022) Full Text: DOI
Meljanac, Stjepan; Škoda, Zoran; Krešić-Jurić, Saša Symmetric ordering and Weyl realizations for quantum Minkowski spaces. (English) Zbl 1509.81531 J. Math. Phys. 63, No. 12, Article ID 123508, 15 p. (2022). MSC: 81R60 81R50 17B37 53D55 83C65 PDFBibTeX XMLCite \textit{S. Meljanac} et al., J. Math. Phys. 63, No. 12, Article ID 123508, 15 p. (2022; Zbl 1509.81531) Full Text: DOI arXiv
Marquette, Ian; Yates, Luke; D. Jarvis, Peter Generalized quadratic commutator algebras of PBW-type. (English) Zbl 1509.17024 J. Math. Phys. 63, No. 12, Article ID 121703, 23 p. (2022). MSC: 17B80 81R12 37J35 37J37 81R05 17B35 PDFBibTeX XMLCite \textit{I. Marquette} et al., J. Math. Phys. 63, No. 12, Article ID 121703, 23 p. (2022; Zbl 1509.17024) Full Text: DOI arXiv
Bagnoli, Lucia; Caselli, Fabrizio Classification of finite irreducible conformal modules for \(K_4^\prime\). (English) Zbl 1509.17007 J. Math. Phys. 63, No. 9, Article ID 091701, 41 p. (2022). MSC: 17B10 81R10 17B70 17B25 17B65 PDFBibTeX XMLCite \textit{L. Bagnoli} and \textit{F. Caselli}, J. Math. Phys. 63, No. 9, Article ID 091701, 41 p. (2022; Zbl 1509.17007) Full Text: DOI arXiv
Boyallian, Carina; Meinardi, Vanesa An approach to quantum conformal algebra. (English) Zbl 1509.17022 J. Math. Phys. 63, No. 8, Article ID 081705, 17 p. (2022). MSC: 17B69 17B37 17B65 81R10 81R50 PDFBibTeX XMLCite \textit{C. Boyallian} and \textit{V. Meinardi}, J. Math. Phys. 63, No. 8, Article ID 081705, 17 p. (2022; Zbl 1509.17022) Full Text: DOI arXiv
Liu, Jiefeng; Zhou, Sihan; Yuan, Lamei Conformal \(r\)-matrix-Nijenhuis structures, symplectic-Nijenhuis structures, and \(\mathcal{O}\mathrm{N}\)-structures. (English) Zbl 1507.17046 J. Math. Phys. 63, No. 10, Article ID 101701, 22 p. (2022). MSC: 17B69 17B80 17B62 17B56 53D17 PDFBibTeX XMLCite \textit{J. Liu} et al., J. Math. Phys. 63, No. 10, Article ID 101701, 22 p. (2022; Zbl 1507.17046) Full Text: DOI arXiv
Amara-Omari, Ola; Schaps, Mary Nonrecursive canonical basis computations for low rank Kashiwara crystals of type \(A\). (English) Zbl 1526.17012 Rocky Mt. J. Math. 52, No. 6, 1929-1955 (2022). MSC: 17B10 17B37 PDFBibTeX XMLCite \textit{O. Amara-Omari} and \textit{M. Schaps}, Rocky Mt. J. Math. 52, No. 6, 1929--1955 (2022; Zbl 1526.17012) Full Text: DOI arXiv Link
Yoshii, Yutaka Some results on certain finite-dimensional subalgebras of the hyperalgebra of a universal Chevalley group. (English) Zbl 07624540 J. Lie Theory 32, No. 4, 899-916 (2022). Reviewer: Dmitry Artamonov (Moskva) MSC: 16S30 16Y20 17B35 17B45 PDFBibTeX XMLCite \textit{Y. Yoshii}, J. Lie Theory 32, No. 4, 899--916 (2022; Zbl 07624540) Full Text: arXiv Link
Hong, Yanyong Central extensions and conformal derivations of a class of Lie conformal algebras. (English) Zbl 1511.17044 Linear Multilinear Algebra 70, No. 18, 3577-3598 (2022). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B40 17B65 17B68 17B69 PDFBibTeX XMLCite \textit{Y. Hong}, Linear Multilinear Algebra 70, No. 18, 3577--3598 (2022; Zbl 1511.17044) Full Text: DOI arXiv