nLab Gabriella Böhm

Gabriella Böhm is a Hungarian mathematical physicist. She studies symmetries appearing in quantum field theories, inclusions of subfactors, bialgebroids, Hopf algebroids, entwining structures, corings, Hopf cyclic homology and some related categorical structures like monads, weak monads and so on.

• webpage

Selected writings

• Gabriella Böhm, Joost Vercruysse, Morita theory for comodules over corings, 3207-3247 (2009) Commun. Alg. 37:9 (2009) (doi:10.1080/00927870902747993)

• Gabriella Böhm, Internal bialgebroids, entwining structures and corings, math.QA/0311244, in: Algebraic structures and their representations, 207–226, Contemp. Math. 376, Amer. Math. Soc. 2005.

• G. Böhm, Hopf algebroids, in: Handbook of algebra, Vol. 6, ed. by M. Hazewinkel, Elsevier 2009, 173–236 arXiv:math.RA/0805.3806

• G. Böhm, K. Szlachányi, Hopf algebroids with bijective antipodes: axioms, integrals and duals, Comm. Algebra 32 (11) (2004) 4433 - 4464 math.QA/0305136

On a vast generalization of crossed modules

• Gabriella Böhm, Crossed modules of monoids I: relative categories, Appl. Categor. Struct. 27 (2019) 641–662 doi; Crossed modules of monoids II: relative crossed modules, Appl Categor Struct 28 (2020) 601–653 doi; Crossed modules of monoids III: simplicial monoids of Moore length 1, Appl. Categor. Struct. 29 (2021) 1–29 doi

On bimonoids in duoidal categories

• Gabriella Böhm, (Hopf) bimonoids in duoidal categories, Chapter in Hopf algebras and their generalizations from a category theoretical point of view, Springer Lecture Notes in Mathematics 2226 (2018) (chapter doi)

• Gabriella Böhm, Y. Chen, L. Zhang, On Hopf monoids in duoidal categories, J. Algebra 394 (2013) 139–172 (2013) MR3092715 doi

• Y. Chen, G. Böhm, Weak bimonoids in duoidal categories, J. Pure Appl. Math. 218:12 (2014) 2240–2273 doi