Wyniki wyszukiwania

1

Extensionless modules over tame hereditary algebras

100%

Okoh F.

Colloquium Mathematicum

|

1997

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tom 73

|

nr 2

285-299

2

Relationships between generalized Heisenberg algebras and the classical Heisenberg algebra

63%

Fabbri M., Okoh F.

Colloquium Mathematicum

|

2014

|

tom 134

|

nr 2

255-265

EN

A Lie algebra is called a generalized Heisenberg algebra of degree n if its centre coincides with its derived algebra and is n-dimensional. In this paper we define for each positive integer n a generalized Heisenberg algebra 𝓗ₙ. We show that 𝓗ₙ and 𝓗 ₁ⁿ, the Lie algebra which is the direct product of n copies of 𝓗 ₁, contain isomorphic copies of each other. We show that 𝓗ₙ is an indecomposable Lie algebra. We prove that 𝓗ₙ and 𝓗 ₁ⁿ are not quotients of each other when n ≥ 2, but 𝓗 ₁ is a quotient of 𝓗ₙ for each positive integer n. These results are used to obtain several families of 𝓗ₙ-modules from the Fock space representation of 𝓗 ₁. Analogues of Verma modules for 𝓗ₙ, n ≥ 2, are also constructed using the set of rational primes.

3

Factorial Fermat curves over the rational numbers

51%

Malcolmson P., Okoh F., Srinivas V.

Colloquium Mathematicum

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2016

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tom 142

|

nr 2

285-300

EN

A polynomial f in the set {Xⁿ+Yⁿ, Xⁿ +Yⁿ-Zⁿ, Xⁿ +Yⁿ+Zⁿ, Xⁿ +Yⁿ-1} lends itself to an elementary proof of the following theorem: if the coordinate ring over ℚ of f is factorial, then n is one or two. We give a list of problems suggested by this result.

Ograniczanie wyników

3 Colloquium Mathematicum

3 Okoh F.

1 Fabbri M.

1 Malcolmson P.

1 Srinivas V.

1 2016

1 2014

1 1997

Extensionless modules over tame hereditary algebras

Relationships between generalized Heisenberg algebras and the classical Heisenberg algebra

Factorial Fermat curves over the rational numbers