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Continuing our attempt to explain the degeneracy of the genetic code using basic classical Lie superalgebras, we present the branching schemes for the typical codon representations (typical 64-dimensional irreducible representations) of basic classical Lie superalgebras and find three schemes that do reproduce the degeneracies of the standard code, based on… (More)

- Naruhiko Aizawa, Sebastian Sachse, Haru-Tada Sato
- 1994

We discuss quantum algebraic structures of the systems of electrons or quasi-particles on a sphere of which center a magnetic monople is located on. We verify that the deformation parameter is related to the filling ratio of the particles in each case.

- Sebastian Sachse, Christian Roeder
- 2012

We derive the amino acid assignment to one codon representation (typical 64-dimensional irreducible representation) of the basic classical Lie superalgebra osp(5|2) from biochemical arguments. We motivate the approach of mathematical symmetries to the classification of the building constituents of the biosphere by analogy of its success in particle physics… (More)

- Sebastian Sachse, Ralf Weixler
- 2008

We prove the embedding of ISO q (3) ֒→ ISU ex √ q (2) and ISO q (2, 1) ֒→ ISL ex q (2, R) as *-algebras and give a Hilbert space representation of ISU ex √ q (2). 1 Introduction The inhomogenized extensions of a large list of standard quantizied Lie groups [1] have been given in [2, 3, 4, 5, 7, 8]. They form quantizied versions of the classical… (More)

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