The classification of τ-tilting modules over algebras of type Dn
Let Λ be an algebra whose quiver is In this paper, we classify the τ -tilting modules over Λ when l ( P 1 ) ⩽ n - 2 . Moreover, the following recurrence formula for the number of τ -tilting Λ -modules holds: | τ - tilt Λ | = ∑ i = 1 l ( P 1 ) C i - 1 · | τ - tilt Λ / ⟨ e ⩽ i ⟩ | , where e ⩽ i : = e...
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| Veröffentlicht in: | Periodica mathematica Hungarica 2023, Vol.86 (2), p.503-513 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Let
Λ
be an algebra whose quiver is
In this paper, we classify the
τ
-tilting modules over
Λ
when
l
(
P
1
)
⩽
n
-
2
. Moreover, the following recurrence formula for the number of
τ
-tilting
Λ
-modules holds:
|
τ
-
tilt
Λ
|
=
∑
i
=
1
l
(
P
1
)
C
i
-
1
·
|
τ
-
tilt
Λ
/
⟨
e
⩽
i
⟩
|
,
where
e
⩽
i
:
=
e
1
+
e
2
+
⋯
+
e
i
and
C
i
=
1
i
+
1
2
i
i
is the
i
th Catalan number. |
|---|---|
| ISSN: | 0031-5303 1588-2829 |
| DOI: | 10.1007/s10998-022-00485-3 |