PP
Paolo Papi
math.RTmath.MPmath-phmath.QAmath.COcs.FLmath.AGmath.RAcs.DMhep-th
On Valency
published · living versionsW_tfe8a54j·v1 · currentpublished
Convex orders in root systems and quantum tangent spaces
with Alessandro Carotenuto, Christophe Hohlweg
1 version
W_hfcx9x2u·v1published
Preprints & journals
46 papers in the corpus · 2001–2026On unitary vertex operator algebras2610.29878v1 · Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi2026 · 0 citationsarXivon Valency
Rational decomposition of polyhedra and a conjecture of Brlek and Reutenauer2610.22663v1 · Flavio D'Alessandro, Paolo Papi2026 · 0 citationsarXiv
An abstract approach to algebras of braids and ties2511.20173v2 · Riccardo Fasano, Domenico Fiorenza, Paolo Papi2025 · 0 citationsarXiv
W-algebras as conformal extensions of affine VOAs2508.18889v3 · Drazen Adamovi'c, Tomoyuki Arakawa, Thomas Creutzig et al.2025 · 0 citationsarXiv
Spectral flow and application to unitarity of representations of minimal -algebras2508.06873v3 · Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi2025 · 0 citationsarXiv
Extremal unitary representations of big superconformal algebra2507.10130v2 · Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi2025 · 0 citationsJapan. J. Math. 21, 67-143(2026)
On the Intersection Problem for Quantum Finite Automata2406.13797v3 · Andrea Benso, Flavio D'Alessandro, Paolo Papi2024 · 1 citationarXiv
Unitarity of minimal -algebras and their representations II: Ramond sector2405.19090v2 · Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi2024 · 1 citationJpn. J. Math. 2025
Framization and Deframization2405.10809v4 · Francesca Aicardi, Jes'us Juyumaya, Paolo Papi2024 · 2 citationsarXiv
Defining relations for minimal unitary quantum affine W-algebras2302.05269v3 · Drazen Adamovi'c, Victor .G. Kac, Pierluigi Moseneder Frajria et al.2023 · 2 citationsComm. Math. Phys. 405 (2024), no. 2, Paper No. 33
Unitarity of minimal -algebras and their representations I2208.02101v4 · Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi2022 · 5 citationsCommun. Math. Phys. 401, 79-145 (2023)
New approaches for studying conformal embeddings and collapsing levels for --algebras2203.08497v3 · Drazen Adamovic, Pierluigi Moseneder Frajria, Paolo Papi2022 · 9 citationsInt. Math. Res. Not. IMRN 2023, no.22, 19431-19475
On the semisimplicity of the category for affine Lie superalgebras2107.12105v2 · Drazen Adamovic, Pierluigi Moseneder Frajria, Paolo Papi2021 · 9 citationsAdv. Math. 405 (2022), Paper No. 108493, 35 pp
Unitarity of minimal -algebras2012.14643v2 · Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi2020 · 0 citationsComm. Math. Phys. 401 (2023), no. 1, 79-145
Invariant Hermitian forms on vertex algebras2008.13178v2 · Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi2020 · 10 citationsCommun. Contemp. Math. 24 (2022), no. 5, Paper No. 2150059
Yangians vs minimal W-algebras: a surprizing coincidence1912.07404v2 · Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi2019 · 0 citationsCommun. Contemp. Math. 23 (2021), no. 4, 2050036
Nilpotent orbits of height 2 and involutions in the affine Weyl group1908.01337v2 · Jacopo Gandini, Pierluigi Moseneder Frajria, Paolo Papi2019 · 4 citationsIndag. Math. (N.S.) 31 (2020), no. 4, 568-594
Conformal embeddings in affine vertex superalgebras1903.03794v2 · Drazen Adamovi'c, Pierluigi Moseneder Frajria, Paolo Papi et al.2019 · 15 citationsAdv. Math. 360 (2020) 106918
The Bruhat order on abelian ideals of Borel subalgebras1806.08622v3 · Jacopo Gandini, Andrea Maffei, Pierluigi Moseneder Frajria et al.2018 · 3 citationsTrans. Amer. Math. Soc. 373 (2020), no. 10, 6999-7018
Kostant's pair of Lie type and conformal embeddings1802.02929v1 · Drazen Adamovic, Victor G. Kac, Pierluigi Moseneder Frajria et al.2018 · 3 citationsAffine, Vertex and W-algebras (D. Adamovic, P. Papi editors), Springer Indam Series n. 37, pp. 1-22, 2019
An application of collapsing levels to the representation theory of affine vertex algebras1801.09880v3 · Drazen Adamovic, Victor G. Kac, Pierluigi Moseneder Frajria et al.2018 · 23 citationsInt. Math. Res. Not. IMRN 2020, no. 13, 4103-4143
On some modules of covariants for a reflection group1706.00189v2 · Corrado De Concini, Paolo Papi2017 · 4 citationsarXiv
On classification of non-equal rank affine conformal embeddings and applications1702.06089v2 · Drazen Adamovic, Victor G. Kac, Pierluigi Moseneder Frajria et al.2017 · 10 citationsSelecta Mathematica, (2018) 24, 2455-2498
Spherical nilpotent orbits and abelian subalgebras in isotropy representations1607.03308v3 · Jacopo Gandini, Pierluigi Moseneder Frajria, Paolo Papi2016 · 4 citationsJournal of the London Mathematical Society, 95 (1), 323--352 (2017)
Conformal embeddings of affine vertex algebras in minimal -algebras II: decompositions1604.00893v3 · Drazen Adamovic, Victor G. Kac, Pierluigi Moseneder Frajria et al.2016 · 30 citationsJapanese Journal of Mathematics, 12, (2017), n. 2, 261-315
Conformal embeddings of affine vertex algebras in minimal -algebras I: structural results1602.04687v2 · Drazen Adamovic, Victor G. Kac, Pierluigi Moseneder Frajria et al.2016 · 46 citationsJournal of Algebra, 500, (2018), 117-152
Finite vs infinite decompositions in conformal embeddings1509.06512v2 · Drazen Adamovic, Victor G. Kac, Pierluigi Moseneder Frajria et al.2015 · 21 citationsCommunications in Mathematical Physics, 348, 445-473 (2016)
On special covariants in the exterior algebra of a simple Lie algebra1404.4222v2 · Corrado De Concini, Pierluigi Moseneder Frajria, Paolo Papi et al.2014 · 7 citationsRend. Lincei Mat. Appl. 25 (2014), 331-334
The maximum cardinality of minimal inversion complete sets in finite reflection groups1312.7687v3 · Claudia Malvenuto, Pierluigi Moseneder Frajria, Luigi Orsina et al.2013 · 2 citationsJournal of Algebra , 424 (2015), 330-356
The adjoint representation inside the exterior algebra of a simple Lie algebra1311.4338v5 · Corrado De Concini, Paolo Papi, Claudio Procesi2013 · 23 citationsAdvances in Mathematics, 280 (2015) 21-46
Dirac operators and the Very Strange Formula for Lie superalgebras1305.5043v2 · Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi2013 · 6 citations"Advances in Lie Superalgebras", Springer INdAM Series vol. 7, 121--148, 2014
Symmetries of abelian ideals of Borel subalgebras1301.2548v2 · Paola Cellini, Pierluigi Moseneder Frajria, Paolo Papi2013 · 1 citationJournal of Lie Theory, 24 (2014), No. 1, 199--224
Conformal embeddings and simple current extensions1210.6602v2 · Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi et al.2012 · 22 citationsIMRN (2015), 14, 5229-5288
On the structure of Borel stable abelian subalgebras in infinitesimal symmetric spaces1109.4501v2 · Paola Cellini, Pierluigi Moseneder Frajria, Paolo Papi et al.2011 · 5 citationsSelecta Mathematica, Vol.19, Issue 2 (2013), 399-437
Irreducible representations of Yangians1105.5777v3 · Sergey Khoroshkin, Maxim Nazarov, Paolo Papi2011 · 11 citationsJournal of Algebra 346 (2011) 189-226
Denominator identities for finite-dimensional Lie superalgebras and Howe duality for compact dual pairs1102.3785v3 · Maria Gorelik, Victor G. Kac, Pierluigi Moseneder Frajria et al.2011 · 15 citationsJapanese Journal of Mathematics M Vol. 7, Issue 1 (2012), 41-134
Cyclic generators for irreducible representations of affine Hecke algebras0809.1561v2 · Valentina Guizzi, Maxim Nazarov, Paolo Papi2008 · 4 citationsJournal of Combinatorial Theory A vol. 117, p. 683--703 (2010)
On the Kernel of the affine Dirac operator0804.3495v3 · Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi2008 · 5 citationsMoscow Mathematical Journal, Vol. 8, n.4, 759--788 (2008); Moscow Mathematical Journal, Vol. 9; p. 927-929, (2009)
Casimir operators, abelian subspaces and u-cohomology0705.2096v2 · Pierluigi Moseneder Frajria, Paolo Papi2007 · 1 citationRend. Mat. Appl. (7) 27 (2007), no. 3-4, 265--276
Multiplets of representations, twisted Dirac operators and Vogan's conjecture in affine setting0704.3342v3 · Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi2007 · 20 citationsAdv. Math. 217 (2008), no. 6, 2485--2562.
The -orbit of , Kostant's formula for powers of the Euler product and affine Weyl groups as permutations of Zmath/0507610v2 · Paola Cellini, Pierluigi Moseneder Frajria, Paolo Papi2005 · 0 citationsJ. Pure Appl. Algebra 208 (2007), no. 3, 1103--1119.
Decomposition rules for conformal pairs associated to symmetric spaces and abelian subalgebras of Z_2-graded Lie algebrasmath-ph/0506043v2 · Paola Cellini, Victor G. Kac, Pierluigi Moseneder Frajria et al.2005 · 1 citationAdv. Math. 207 (2006), no. 1, 156--204.
ad-nilpotent ideals containing a fixed number of simple root spacesmath/0401090v3 · Paola Cellini, Pierluigi Moseneder Frajria, Paolo Papi2004 · 0 citationsRendiconti di Matematica, vol. 29, serie 7; p. 153-162, (2009)
Abelian subalgebras in Z_2-graded Lie algebras and affine Weyl groupsmath/0311406v3 · Paola Cellini, Pierluigi Moseneder Frajria, Paolo Papi2003 · 0 citationsInt. Math. Res. Not. 2004, no. 43, 2281--2304.
Compatible Discrete Seriesmath/0207275v3 · P. Cellini, P. Moseneder Frajria, P. Papi2002 · 11 citationsPacific J. Math. 212 (2003), no. 2, 201--230.
ad-Nilpotent ideals of a Borel subalgebra IImath/0106057v2 · Paola Cellini, Paolo Papi2001 · 124 citationsJ. Algebra 258 (2002), no. 1, 112--121.
Career total: 99 works. 46 are in this corpus.
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