In this expository article, we describe the classification of the subalgebras of the rank 2 semisimple Lie algebras. Their semisimple subalgebras are well-known, and in a recent series of papers, we ...completed the classification of the subalgebras of the classical rank 2 semisimple Lie algebras. Finally, Mayanskiy finished the classification of the subalgebras of the remaining rank 2 semisimple Lie algebra, the exceptional Lie algebra
. We identify subalgebras of the classification in terms of a uniform classification scheme of Lie algebras of low dimension. The classification is up to inner automorphism, and the ground field is the complex numbers.
An incomplete-block design defines both a concurrence graph and a Levi graph. Properties of either graph can be used to compare designs with respect to D-optimality and with respect to A-optimality. ...In this paper, we show that optimality of the design implies strong conditions on connectivity properties of the graph, and use this to classify the optimal designs when the number of observational units is close to minimal.
On some classes of Z-graded Lie algebras Marini, Stefano; Medori, Costantino; Nacinovich, Mauro
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg,
04/2020, Letnik:
90, Številka:
1
Journal Article
Recenzirano
We study finite dimensional
almost
- and
quasi-effective
prolongations of nilpotent
Z
-graded Lie algebras, especially focusing on those having a decomposable reductive structural subalgebra. Our ...assumptions generalize
effectiveness
and
algebraicity
and are appropriate to obtain Levi–Malčev and Levi–Chevalley decompositions and precisions on the heigth and other properties of the prolongations in a very natural way. In a last section we consider the semisimple case and discuss some examples in which the structural algebras are central extensions of orthogonal Lie algebras and their degree
(
-
1
)
components arise from spin representations.
On Exterior n-Bell Groups Asheghi, Elham; Jafari, S. Hadi
Bulletin of the Iranian Mathematical Society,
3/10, Letnik:
45, Številka:
5
Journal Article
Recenzirano
Let
n
≠
0
,
1
be an integer. In this paper we introduce the exterior analogues of
n
-Bell,
n
-Levi and
n
-Kappe groups, and find the structural similarities between them. In particular, we prove that ...if
G
is an exterior
n
-Bell group, then
G
/
Z
2
∧
(
G
)
has finite exponent dividing
3
n
2
(
n
-
1
)
2
.
In this paper we find the solutions of the functional equation
f
(
x
y
)
=
g
(
x
)
h
(
y
)
+
∑
j
=
1
n
g
j
(
x
)
h
j
(
y
)
,
x
,
y
∈
M
,
where
M
is a monoid,
n
≥
2
, and
g
j
(for
j
=
1
,
…
,
n
) are ...linear combinations of at least 2 distinct nonzero multiplicative functions.
This article looks at the literary re-elaboration of the round-up occurred in Rome between 16 and 18 October 1943 in La Storia by Elsa Morante. It considers Morante’s Jewish origins and impegno in ...writing of World War II and re-reads her description of this event in the light of cultural memories studies. It summarises key events of her life, as they related to World War II and to the German occupation of Rome, and examines her commitment to interrogate the past through literature. Literature is, indeed, a bearer of historical knowledge and a medium of memory; literary texts are not only an outcome of remembrance, but also an active ingredient in the ongoing process of cultural memory. Morante’s literary representation of the events of 16 and 18 October 1943 is also read through the lens of her depiction of the sensory perceptions of the main characters, Ida e Useppe. This analysis shows how and to what extent the author fosters what Alison Landsberg calls “prosthetic memory”.
This article offers an overview and analysis of the concentration camp writings of Aldo Bizzarri, an Italian political deportee at Mauthausen concentration camp during 1944-1945. Bizzarri had a ...varied career as a writer, essayist and cultural diplomat before deportation and as a journalist and writer after the war. He wrote two important books about his experiences at Mauthausen and also worked on a film with a concentration camp setting. His experimentation in these different forms, it is argued, is symptomatic of the variety and complexity of early attempts to find an appropriate idiom to represent the Lager phenomenon and the Nazis’ genocidal violence.
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