nLab Gigel Militaru

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Selected writings

On Frobenius functors (and introducing that terminology):

• Stefaan Caenepeel, Gigel Militaru, Shenglin Zhu, Doi-Hopf modules, Yetter-Drinfel’d modules and Frobenius type properties, Trans. Amer. Math. Soc. 349 (1997) 4311-4342 [1997-349-11/S0002-9947-97-02004-7, pdf]

• F. Castaño Iglesias, José Gómez-Torrecillas, C. Nastasescu, Frobenius functors: applications, Comm. Alg. 27 10 (1998) 4879-4900 [doi:10.1080/00927879908826735]

• Stefaan Caenepeel, E. De Groot, Gigel Militaru, Frobenius Functors of the second kind, Comm. Algebra 30 (2002) 5359-5391 [arXiv:math/0106109, doi:10.1081/AGB-120015657]

• Stefaan Caenepeel, Gigel Militaru, Shenglin Zhu, Frobenius and separable functors for generalized module categories and nonlinear equations, Springer Lec. Notes in Math. 1787 (2002) [gBooks]

On associative bialgebroids and in particalar about those arising as smash products of a Hopf algebra $H$ with a braided commutative Yetter-Drinfeld $H$-module algebra $A$ (scalar extension bialgebroids):

• Tomasz Brzeziński, Gigel Militaru, Bialgebroids, $\times_A$-bialgebras and duality, J. Algebra 251 (2002) 279-294 [math.QA/0012164, doi:10.1006/jabr.2001.9101]

The structure of finite-dimensional Hopf algebras can be recovered from the fundamental operator (idea of multiplicative unitary) satisfying the pentagon relation, in the framework of finite-dimensional Heisenberg doubles, as shown in

• Gigel Militaru, Heisenberg double, pentagon equation, structure and classification of finite-dimensional Hopf algebras, J. London Math. Soc. (2) 69 (2004) 44–64 doi

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