Ozren Perše

Professor
Faculty of Science - Department of Mathematics
University of Zagreb
Bijenicka cesta 30, Zagreb
e-mail: perseATmath.hr

Curriculum Vitae

Publications and preprints

• D. Adamovic, O. Perse, I. Vukorepa, On the representation theory of the vertex algebra $L_{-5/2}(sl(4))$, to appear in Commun. Contemp. Math., DOI:10.1142/S0219199721501042.
• D. Adamovic, P. Moseneder Frajria, P. Papi, O. Perse, Conformal embeddings in affine vertex superalgebras, Adv. Math. 360 (2020), 106918, 50pp.
• D. Adamovic, V. G. Kac, P. Moseneder Frajria, P. Papi, O. Perse, Kostant's pair of Lie type and conformal embeddings, In: D. Adamovic, P. Papi (eds) Affine, Vertex and W-algebras, 1-22, Springer INdAM Ser., 37, Springer, Cham, 2019.
• D. Adamovic, V. G. Kac, P. Moseneder Frajria, P. Papi, O. Perse, An application of collapsing levels to the representation theory of affine vertex algebras, Int. Math. Res. Not. IMRN 13 (2020), 4103-4143.
• D. Adamovic, V. G. Kac, P. Moseneder Frajria, P. Papi, O. Perse, On the classification of non-equal rank affine conformal embeddings and applications, Selecta Math. (N.S.) 24 (2018), 2455-2498.
• D. Adamovic, V. G. Kac, P. Moseneder Frajria, P. Papi, O. Perse, Conformal embeddings of affine vertex algebras in minimal W-algebras II: decompositions, Jpn. J. Math. 12 (2017), 261-315.
• D. Adamovic, V. G. Kac, P. Moseneder Frajria, P. Papi, O. Perse, Conformal embeddings of affine vertex algebras in minimal W-algebras I: Structural results, J. Algebra 500 (2018), 117-152.
• D. Adamovic, O. Perse, On Extensions of Affine Vertex Algebras at Half-Integer Levels, In: F. Callegaro, G. Carnovale, F. Caselli, C. De Concini, A. De Sole (eds) Perspectives in Lie Theory, 281-298, Springer INdAM Ser., 19, Springer, Cham, 2017.
• D. Adamovic, V. G. Kac, P. Moseneder Frajria, P. Papi, O. Perse, Finite vs. infinite decompositions in conformal embeddings, Comm. Math. Phys. 348 (2016), 445–473.
• D. Adamovic, O. Perse, Fusion rules and complete reducibility of certain modules for affine Lie algebras, J. Algebra Appl. 13 (2014), 1350062, 18 pp.
• O. Perse, A note on representations of some affine vertex algebras of type D, Glas. Mat. Ser. III 48(68) (2013), 81–90.
• D. Adamovic, O. Perse, Some general results on conformal embeddings of affine vertex operator algebras, Algebr. Represent. Theory 16 (2013), 51–64.
• D. Adamovic, O. Perse, The vertex algebra M(1)+ and certain affine vertex algebras of level -1, SIGMA Symmetry Integrability Geom. Methods Appl. 8 (2012), Paper 040, 16 pp.
• D. Adamovic, O. Perse, On coset vertex algebras with central charge 1, Math. Commun. 15 (2010), 143–157.
• O. Perse, Embeddings of vertex operator algebras associated to orthogonal affine Lie algebras, Comm. Algebra 38 (2010), 1761–1778.
• O. Perse, Vertex operator algebras associated to certain admissible modules for affine Lie algebras of type A, Glas. Mat. Ser. III 43(63) (2008), 41–57.
• D. Adamovic, O. Perse, Representations of certain non-rational vertex operator algebras of affine type, J. Algebra 319 (2008), 2434–2450.
• O. Perse, Vertex operator algebra analogue of embedding of B4 into F4, J. Pure Appl. Algebra 211 (2007), 702–720.
• O. Perse, Vertex operator algebras associated to type B affine Lie algebras on admissible half-integer levels, J. Algebra 307 (2007), 215–248.