Gabriella Böhm

Wigner Research Centre for Physics, Budapest
    H-1525 Budapest 114, P.O.B.49, Hungary
    bohm.gabriella(at)wigner.hu

• Maschke type theorems for Hopf monoids. Theor. and Appl. of Categories 36 (Rosebrugh Festschrift) 9-47. arXiv:2004.11519
• BiHom Hopf algebras viewed as Hopf monoids. (Joint with Vercruysse, Joost.) in: "Hopf Algebras, Tensor Categories and Related Topics", N. Andruskiewitsch, G. Liu, S. Montgomery, and Y. Zhang (eds.) Contemp. Math. 771 (2021) pp. 1-12. arXiv:2003.08819
• The Gray monoidal product of double categories. Appl. Categ. Structures 28 no. 3 (2020) 477-515. arXiv:1901.10707
• The formal theory of multimonoidal monads. Theor. and Appl. of Categories 34 no. 12 (2019), 295-348. arXiv:1810.11300
• Crossed modules of monoids III. Simplicial monoids of Moore length 1. Appl. Categ. Structures 29 no. 1 (2021), 1-29 arXiv:1803.04622
• Crossed modules of monoids II. Relative crossed modules. Appl. Categ. Structures 28 no. 4 (2020) 601-653. arXiv:1803.04124
• Crossed modules of monoids I. Relative categories. Appl. Categ. Structures 27 no. 6 (2019) 641–662. arXiv:1803.03418
• Hopf polyads, Hopf categories and Hopf group monoids viewed as Hopf monads. Theor. and Appl. of Categories 32 no. 37 (2017), 1229-1257. arXiv:1611.05157
• Weak multiplier bimonoids. (Joint with Gómez-Torrecillas, José and Lack, Stephen.) Appl. Categ. Structures 26 no. 1 (2018), 47-111 arXiv:1603.05702
• A simplicial approach to multiplier bimonoids. (Joint with Lack, Stephen.) Bull. Belgian Math. Soc. Simon Stevin 24 (2017), 107-122. arXiv:1512.01259
• Multiplier Hopf monoids. (Joint with Lack, Stephen.) Algebr. Represent. Theory 20 no. 1 (2017), 1-46. arXiv:1511.03806
• A category of multiplier bimonoids. (Joint with Lack, Stephen.) Appl. Categ. Structures, 25(2) (2017), 279-301. arXiv:1509.07171
• Hopf comonads on naturally Frobenius map-monoidales. (Joint with Lack, Stephen.) J. Pure Appl. Algebra 220 no. 6 (2016), 2177-2213. arXiv:1411.5788
• Multiplier bialgebras in braided monoidal categories. (Joint with Lack, Stephen.) J. Algebra 423 (2015), 853-889. arXiv:1405.4668
• Yetter-Drinfeld modules over weak multiplier bialgebras. Israel J. Math. 209 no. 1 (2015), 85-123. arXiv:1311.3027
• Comodules over weak multiplier bialgebras. Int. J. Math. 25, 1450037 (2014), arXiv:1311.2730
• Weak bimonoids in duoidal categories. (Joint with Chen, Yuanyuan.) J. Pure Appl. Algebra 218 no. 12 (2014), 2240-2273. arXiv:1306.4829
• Weak multiplier bialgebras. (Joint with Gómez-Torrecillas, José; López-Centella, Esperanza.) Trans. Amer. Math. Soc. 367 (2015), no. 12, 8681-8721. arXiv:1306.1466
• On the category of weak bialgebras. (Joint with Gómez-Torrecillas, José; López-Centella, Esperanza.) J. Algebra 399 (2014), 801-844. arXiv:1306.1459
• Firm Frobenius monads and firm Frobenius algebras. (Joint with Gómez-Torrecillas, José.) Bull. Math. Soc. Sci. Math. Roumanie 56(104) (2013), no. 3, 281-298. arXiv:1304.6541
• On Hopf monoids in duoidal categories. (Joint with Chen, Yuanyuan; Zhang, Liangyun.) J. Algebra 394 (2013), 139-172. arXiv:1212.1018
• On the double crossed product of weak Hopf algebras. (Joint with Gómez-Torrecillas, José.) AMS Contemp. Math. 585 (2013), 153-174. arXiv:1205.2163
• On the iteration of weak wreath products. Theor. and Appl. of Categories 26 (2012), no. 2, 30-59. arXiv:1110.0652
• Bilinear factorization of algebras. (Joint with Gómez-Torrecillas, José.) Bull. Belgian Math. Soc. 20 (2013), 221-244. arXiv:1108.5957
• Idempotent splittings, colimit completion, and weak aspects of the theory of monads. (Joint with Lack, Stephen; Street, Ross.) J. Pure Appl. Algebra 216 (2012), no. 2, 385-403. arXiv:1102.4931
• On the 2-categories of weak distributive laws. (Joint with Lack, Stephen; Street, Ross.) Comm. Algebra 39 (2011), no. 12 (special volume dedicated to Mia Cohen), 4567-4583. arXiv:1009.3454
• Weak bialgebras and monoidal categories. (Joint with Caenepeel, Stefaan; Janssen, Kris.) Comm. Algebra 39 (2011), no. 12 (special volume dedicated to Mia Cohen), 4584-4607. arXiv:1103.2261
• Factorization systems induced by weak distributive laws. Appl. Categ. Structures, 20 (2012), no 3, 275-302. arXiv:1009.0732
• Weak bimonads and weak Hopf monads. (Joint with Lack, Stephen; Street, Ross.) J. Algebra 328 (2011), 1-30. arXiv:1002.4493
• A categorical approach to cyclic duality. (Joint with Ştefan, Dragoş.) J. Noncommutative Geometry 6 (2012), no. 3, 481–538. arXiv:0910.4622
• The weak theory of monads. Adv. Math. 225 (2010), 1-32. arXiv:0902.4192
• Pre-torsors and Galois comodules over mixed distributive laws. (Joint with Menini, Claudia.) Appl. Categ. Structures 19 (2011), no. 3, 597-632. arXiv:0806.1212
• Hopf Algebroids. Handbook of Algebra Vol 6, edited by M. Hazewinkel, Elsevier, 2009, pp. 173-236. arXiv:0805.3806
• Monads and comonads on module categories. (Joint with Brzeziński, Tomasz; Wisbauer, Robert.) J. Algebra 322 (2009) 1719-1747. arXiv:0804.1460
• Examples of para-cocyclic objects induced by BD-laws. (Joint with Ştefan, Dragoş.) Algebr. Represent. Theory 12 (2009), no. 2-5, 153-180. arXiv:0801.0033
• Morita theory for comodules over corings. (Joint with Vercruysse, Joost.) Comm. Algebra 37 (2009), no. 9, 3207-3247. arXiv:0710.1017
• (Co)cyclic (co)homology of bialgebroids: an approach via (co)monads. (Joint with Ştefan, Dragoş.) Comm. Math. Phys. 282 (2008), no.1, 239-286. arXiv:0705.3190
• Galois extensions over commutative and non-commutative base. New techniques in Hopf algebras and graded ring theory, 9-34, K. Vlaam. Acad. Belgie Wet. Kunsten (KVAB), Brussels, 2007. arXiv:math/0701064
• A Schneider type theorem for Hopf algebroids. (Joint with Ardizzoni, A.; Menini, C.) J. Algebra 318 (2007), no. 1, 225-269. Corrigendum. J. Algebra 321 (2009) no. 6, 1786-1796. arXiv:math/0612633
• Morita theory for coring extensions and cleft bicomodules. (Joint with Vercruysse, Joost.) Adv. Math. 209 (2007), no. 2, 611-648. Corrigendum. Adv. Math. 221 (2009), no 2, 682-686. arXiv:math/0601464
• Pre-torsors and equivalences. (Joint with Brzeziński, Tomasz.) J. Algebra 317 (2007), 544-580. Corrigendum. J. Algebra 319 (2008), 1339-1340. arXiv:math/0607529
• Cleft extensions of Hopf algebroids. (Joint with Brzeziński, Tomasz.) Appl. Categ. Structures 14 (2006), no. 5-6, 431-469. Corrigendum. Appl. Categ. Structures 17 (2009), no. 6, 613-620. arXiv:math/0510253
• Strong connections and the relative Chern-Galois character for corings. (Joint with Brzeziński, Tomasz.) Int. Math. Res. Not. 2005, no. 42, 2579-2625. arXiv:math/0503469
• Galois theory for Hopf algebroids. Ann. Univ. Ferrara Sez. VII (N.S.) 51 (2005), 233-262. math.RA/0409513
• Integral theory for Hopf algebroids. Algebr. Represent. Theory 8 (2005), no. 4, 563-599. Erratum. Algebr. Represent. Theory 13 (2010), no. 6, 755. arXiv:math/0403195
• Internal bialgebroids, entwining structures and corings. Algebraic structures and their representations, 207-226, Contemp. Math., 376, Amer. Math. Soc., Providence, RI, 2005. arXiv:math/0311244
• Hopf algebroid symmetry of abstract Frobenius extensions of depth 2. (Joint with Szlachányi, Kornél.) Comm. Algebra 32 (2004), no. 11, 4433-4464. arXiv:math/0305136
• On perturbative quantum field theory with boundary. (Joint with Bajnok, Z.; Takács, G.) Nuclear Phys. B 682 (2004), no. 3, 585-617. arXiv:hep-th/0309119
• Hopf algebroids with bijective antipodes: axioms, integrals, and duals. (Joint with Szlachányi, Kornél.) J. Algebra 274 (2004), no. 2, 708-750. arXiv:math/0302325
• An alternative notion of Hopf algebroid. Hopf algebras in noncommutative geometry and physics, 31-53, Lecture Notes in Pure and Appl. Math., 239, Dekker, New York, 2005. arXiv:math/0301169
• Boundary reduction formula. (Joint with Bajnok, Zoltán.; Takács, Gábor.) J. Phys. A 35 (2002), no. 44, 9333-9342. arXiv:hep-th/0207079
• Doi-Hopf modules over weak Hopf algebras. Comm. Algebra 28 (2000), no. 10, 4687-4698. arXiv:math/9905027
• Weak Hopf algebras. II. Representation theory, dimensions, and the Markov trace. (Joint with Szlachányi, Kornél.) J. Algebra 233 (2000), 156-212. arXiv:math/9906045
• Weak C*-Hopf algebras and multiplicative isometries. (Joint with Szlachányi, Kornél.) J. Operator Theory 45 (2001), no. 2, 357-376. arXiv:math/9810070
• Weak Hopf algebras. I. Integral theory and C*-structure. (Joint with Nill, F.; Szlachányi, K.) J. Algebra 221 (1999), no. 2, 385-438. arXiv:math/9805116
• Weak C*-Hopf algebras: the coassociative symmetry of non-integral dimensions. (Joint with Szlachányi, Kornél.) Quantum groups and quantum spaces (Warsaw, 1995), 9-19, Banach Center Publ., 40, Polish Acad. Sci., Warsaw, 1997.
• A coassociative C*-quantum group with nonintegral dimensions. (Joint with Szlachányi, K.) Lett. Math. Phys. 38 (1996), no. 4, 437-456. arXiv:q-alg/9509008

monograph

• Hopf Algebras and Their Generalizations from a Category Theoretical Point of View. Springer Lecture Notes in Mathematics 2226, 2018.

2018-2021: member of the editorial board of "Theory and Applications of Categories"

lecture notes of my course "Introcuction to Category Theory" (in Hungarian)
1. óra 2. óra 3. óra 4. óra 5. óra 6. óra 7. óra 8. óra 9. óra 10. óra 11. óra 12. óra 13. óra teljes 1-13. óra

videos of the course (also in Hungarian)
5. óra 6. óra 7. óra 8. óra 9. óra 10. óra 11. óra 1. rész 11. óra 2. rész 12. óra 13. óra

my family